What is the probability of rolling a fair die and not getting an outcome less than 5​?

QUESTION POSTED AT 26/03/2020 - 01:04 PM

Answered by admin AT 26/03/2020 - 01:04 PM

There are 6 possible outcomes. And there are 2 outcomes that are not less then 5 which is 6 & 5. So you would get 2/6 or about 33%.
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In one town, 39% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.

Answer:

The probability is 0.152

Step-by-step explanation:

We know that in this town 39% of all voters are Democrats. Therefore, the probability of a randomly selected voter being a Democrat is p=0.39

The experiment of randomly select voters for a survey is called a Bernoulli experiment (under some suppositions). We suppose that exist independence in this randomly selection of voters. We also suppose that there are only two possibilities for the voter : It is Democrat or not.

Now the variable X : ''The randomly selected voter for a survey is Democrat'' is a Binomial random variable.

X ~ Bi (n,p)

The probability function for the BInomial random variable X is :

P(X=x)=(nCx).p^{x}.(1-p)^{n-x}

Where ''n'' is the number of Bernoulli experiments (In this case n = 2 because we randomly selected two voters)

P(X=x) is the probability of the variable X to assumes the value x

(nCx) is the combinatorial number define as

(nCx)=\frac{n!}{x!(n-x)!}

p = 0.39 in this exercise.

We are looking for P(X=2) ⇒

P(X=2)=(2C2).(0.39)^{2}.(1-0.39)^{2-2}=(0.39)^{2}=0.1521

If we round to the nearest thousandth the probability is 0.152

ANSWERED AT 01/04/2020 - 01:48 PM


QUESTION POSTED AT 01/04/2020 - 01:48 PM

PLEASE HELP THE TEACHER IS OUT TO GET ME 10 fish are in a tank 2 drown 4 swim away 3 die how many fish are left in the tank?

10 fish are in the tank
1st fish can't drown
2nd they cant swim away they are in a tank
3rd they are dead but still in the tank
Hope that helps

ANSWERED AT 01/04/2020 - 01:42 PM


QUESTION POSTED AT 01/04/2020 - 01:42 PM

A bag contains 29 red, 22 yellow, and 25 white balloons. If one balloon is picked at random, what is the probability that the balloon picked is white? Write your answer as a decimal rounded to the nearest thousandth

Add all of the balloons first to get the total which is the denominator 76
the probability of white is therefore 25/76
25/76 in decimal form is 0.328947368 and round to nearest thousandth is 
0.329

ANSWERED AT 01/04/2020 - 01:34 PM


QUESTION POSTED AT 01/04/2020 - 01:34 PM

Suppose you roll a number cube. What is the theoretical probability of rolling a number less than 6?

Probability of rolling a number less than 6 is 5/6

ANSWERED AT 01/04/2020 - 01:25 PM


QUESTION POSTED AT 01/04/2020 - 01:25 PM

Zoe has a six-sided block. One side is painted red and the other five sides are painted blue. What is the likelihood that the block will land on red when Zoe rolls it? A. impossible B. likely C. certain D. unlikely

D) unlikely, because the chance of the block landing on red is very small. Only a 1/6 chance.

ANSWERED AT 01/04/2020 - 01:19 PM


QUESTION POSTED AT 01/04/2020 - 01:19 PM

If a person is chosen randomly from the group, what is the probability of selecting a person who is male or female?

50 50 percent chance

ANSWERED AT 01/04/2020 - 01:16 PM


QUESTION POSTED AT 01/04/2020 - 01:16 PM

In a batch of 860 calculators, 9 were found to be defective. What is the probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.

The given is 860 calculators with a possibility that 9 are defective. To calculate for simple probability, we should have a number of desired outcomes (890) and number of possible outcomes (9). To calculate this, we have: 9 divided by 890 which equals to 0.0104. To get the percentage, we multiply 0.0104 by 100 and we'll have 1.04%. So, there's a 1.04% probability that a calculator chosen at random will be defective.

ANSWERED AT 01/04/2020 - 01:13 PM


QUESTION POSTED AT 01/04/2020 - 01:13 PM

If there are 14 boys and 15 girls what is the probability that a boy will get choosen?

14 in 29  or about 48.3% because there are 14 boys in a total population of 29 people. 

ANSWERED AT 31/03/2020 - 10:40 AM


QUESTION POSTED AT 31/03/2020 - 10:40 AM

Ten qualified applicants apply for a part-time job. If the manager randomly hires 3 of them, what is the probability that he hires the 3 youngest?

3/30 (I think) they have a 1/10 of picking the youngest, so that times three

ANSWERED AT 31/03/2020 - 10:37 AM


QUESTION POSTED AT 31/03/2020 - 10:37 AM

A shelf holds 3 novels, 2 biographies, and 1 history book. Two students in turns choose a book at random. What is the probability of that the students choose each of the following? 1. both novels _____ 2.both biographies _______ 3. a history, then a novel _____ 4. both history books ______

I'll do the first one:
Both novels.

Student 1 picks a novel. There are 3 novels out of 6 books total.

Now there are 5 books left.

Student 2 picks a novel. There are 2 novels out of 5 books since the other student took a novel.

To find the probability you would multiply the probability student 1 gets a novel and the probability student 2 gets a novel.

 \frac{3 Novels}{6 Books} x  \frac{2 Novels}{5 Books} =   \frac{6}{30} =  \frac{1}{5}

So the probability is 1/5. Or 20%

ANSWERED AT 30/03/2020 - 09:23 AM


QUESTION POSTED AT 30/03/2020 - 09:23 AM

A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, without replacement, from the basket?

P(black socks): 24/42 or 12/21
P(black socks without replacing): 23/41. As a result, the probability of randomly picking 2 black socks, without replacement, from the basket is 12/21×23/41=276/861 or 32%. Hope it help!

ANSWERED AT 30/03/2020 - 01:33 AM


QUESTION POSTED AT 30/03/2020 - 01:33 AM

GEOMETRY HELPPPPPP What is the probability of getting heads when flipping a coin and getting a number greater than or equal to 3 when rolling a single die?

Together it is 1/4 and each individual is 1/2

ANSWERED AT 29/03/2020 - 06:29 PM


QUESTION POSTED AT 29/03/2020 - 06:29 PM

GEOMETRY HELP Which of the following are dependent events? A. Drawing a king from a deck of cards, replacing it, and then drawing another king B. Flipping a coin and getting tails, and then flipping it again and getting tails again C. Drawing a 6 from a deck of cards, not replacing it, and then drawing another 6 D. Rolling a die and getting 2, and then rolling it again and getting 2 again

Answer:

Option C

Step-by-step explanation:

A and B are said to be independent of

P(A intersection B) = P(A)*P(B).

Or if drawing is done with replacement, etc.

A) P(drawing a king) = 4/52 = 1/13

IF we replace again drawing a kind is the same 1/13

Hence independent

B) Coin flipping each toss is obviously independent of the other as prob of getting tail in a fair coin is 1/2 irrespective of the previous outcomes

C) Without replacement is not independent

Since first prob = 4/52 and second would be 3/51 not the same as before

D) Rolling a die is independent as getting a 2 in any throw is always the same.

C is answer

ANSWERED AT 29/03/2020 - 06:27 PM


QUESTION POSTED AT 29/03/2020 - 06:27 PM

At a carnival game, you randomly throw two darts at the board and break two balloons out of 15. What is the probability that both the balloons you break are purple? Write your answer as a fraction or percent rounded to the nearest tenth. (3 red, 4 blue, 2 green, 2 yellow, 4 purple)

Add up the total number of balloons (15) there are 4 purples so the probably of you getting purple at all is 4/15. consider that after you hit the first purple, your odds decrease to 3/14. 

ANSWERED AT 28/03/2020 - 01:00 PM


QUESTION POSTED AT 28/03/2020 - 01:00 PM

What is the approximate probability that the next flower (flower 11) will be at least 60 inches

Need more information. Thank You.

ANSWERED AT 28/03/2020 - 12:53 PM


QUESTION POSTED AT 28/03/2020 - 12:53 PM

A bag of coins contains 2 quarters, 5 dimes, 3 nickels, and 4 pennies. If 2 coins are randomly chosen from the bag, one after the other, and not replaced, and if the total value of the chosen coins is 26 cents, what is the probability that a third coin randomly chosen from the bag will be a penny?

Answer:

B

Step-by-step explanation:

The 2 coins that have a combined value of 26 cents are a quarter and a penny. That means that 1 quarter and 1 penny must have already been removed from the bag. For this reason, the bag now contains 1 quarter, 5 dimes, 3 nickels, and 3 pennies. Therefore, the probability that a third coin randomly chosen from the bag will be a penny is

3

1 + 5 +3 + 3

=

3

12

=

1

4

.

ANSWERED AT 28/03/2020 - 12:47 PM


QUESTION POSTED AT 28/03/2020 - 12:47 PM

A box of 6 coins (penny, nickel, dime or quarter) worth $0.67 is shaken. What is the probability that a nickel is drawn first and then a quarter? Assume no replacement and that all coins are equally likely.

Answer:

There is a 6.67% probability that a nickel is drawn first and then a quarter.

Step-by-step explanation:

There are 6 coins. The sum of their values is $0.67. We need to find how many of each coin are there.

A penny is worth 1 cent.

A nickel is worth 5 cents.

A dime is worth 10 cents.

A quarter is worth 25 cents.

To get to 67 cents, we need:

Two pennies, a nickel, a dime and two quarters.

So:

What is the probability that a nickel is drawn first and then a quarter? Assume no replacement and that all coins are equally likely.

Initially there are 6 coins, of which 1 is a nickel. So the probability that the nickel is drawn is:

P_{1} = \frac{1}{6}

There are no replacements, so now there are 5 coins, of which 2 are quarters. So the probability that a quarter is drawn is:

P_{2} = \frac{2}{5}.

The probability that a nickel is drawn first and then a quarter is:

P = P_{1}*P_{2} = \frac{1}{6}{2}{5} = \frac{1}{15} = 0.0667

There is a 6.67% probability that a nickel is drawn first and then a quarter.

ANSWERED AT 28/03/2020 - 12:42 PM


QUESTION POSTED AT 28/03/2020 - 12:42 PM

How can we use a standard cube for simulations that involve 2 equal outcomes ?

A standard cube has 6 faces, and 6 divided by 2,3, or 6. So you can divide the 6 faces into 2,3, or 6 sets with equal numbers of faces in each set. then each set has an equal probability

ANSWERED AT 28/03/2020 - 12:41 PM


QUESTION POSTED AT 28/03/2020 - 12:41 PM

Is rolling doubles a simple event or compound event

Simple events can be defined as the single outcome of the performed experiment or it is an event which cannot be broken down any more. Compound events is the combination of two or more than two simple event. It can also be defined as an event that contains more than one sample points in it. I hope this helps you alittle bit<3

ANSWERED AT 28/03/2020 - 12:29 PM


QUESTION POSTED AT 28/03/2020 - 12:29 PM

Maria will spin the arrow on the spinner 2 times. What is the probability that the arrow will stop on the same letter twice? A. 1/9 B. 2/9 C. 1/3 D. 5/9

Answer:

probability that the arrow will stop on the same letter twice = \frac{1}{3} (c).

Step-by-step explanation:

Given : Maria will spin the arrow on the spinner 2 times.

To find : What is the probability that the arrow will stop on the same letter twice.

Solution : We have given a spinner that spin twice and stop on the same letter.

Formula for probability = \frac{number \ of \ favorable\ outcome}{Total \number\ of \possible \outcome}.

Here, total part of spinner = 3 and it spin two times

So, total possible outcome = 6.  Arrow ston on same letter twice( favorable outcome) =2.

Plugging the values in formula :

Probability =  \frac{2}{6}.

Probability =  \frac{1}{3}.

Therefore,  probability that the arrow will stop on the same letter twice = \frac{1}{3} (c).

ANSWERED AT 28/03/2020 - 12:20 PM


QUESTION POSTED AT 28/03/2020 - 12:20 PM

PLEASE HELP FAST!!!!!!!!!!!!!!!!!!!!!1 A car license plate is made up of 7 letters or numbers, where the numbers are whole numbers 0–9. Suppose that a license plate is randomly generated, one character at a time. What is the probability that the first character is a number? Enter your answer as a decimal rounded to the nearest hundredth in the box

It is .277
because there are 26 letters in the alphabet, and 10 numbers given (0-9)
add both amount of characters: 26+10=36
then put a number of numbers over the total amount of characters: 10/36
now divide 10 by 36
and you will get .277777, but since you said by the nearest hundredth, estimate and get
=.277


ANSWERED AT 28/03/2020 - 12:11 PM


QUESTION POSTED AT 28/03/2020 - 12:11 PM