# Probability Problems

1. You are warming up with the dice in the lobby of a casino before making your move to the casino floor. Suppose you have two regular 6-sided dice, with sides numbered from 1 to 6 on each die. What is the probability of rolling them both at once, and getting a sum of TEN?

Probability =

Round your final answer to two decimal places.

2. Suppose you and your two friends are part of a group of 15 potential jurors at Rolling Hills District Court. If three people from this group are to be chosen at random for the last remaining seats on the jury, what is the probability that you and your two friends are the last three people chosen?

Probability =

Round your answer to four decimal places.

3. The following table represents the number of students in Second Chances Adult School by gender and by place of origin.

Female Male

U.S. Resident 243 201

International 55 49

What is the probability that a randomly selected female is an international student?

Probability =

Round your final answer to two decimal places.

4. The following table represents the number of students in Ellis High School by gender and by place of origin.

Female Male

U.S. Resident 435 395

International 57 63

What is the probability that a randomly selected student is either a male student or an international student?

Probability =

Round your final answer to two decimal places.

5. In the accompanying table the random variable X represents the number of times per month a person in the U.S. fills up their primary community vehicle.

X P (X)

1 0.05

2 0.11

3 0.57

4 0.27

Find the mean, variance and standard deviation of the probability distribution.

Mean =

Variance =

Standard deviation =

Round all answers to two decimal places.

See attached file.

#### Solution Preview

Please see the attachments.

1.

You are warming up with the dice in the lobby of a casino before making your move to the casino floor. Suppose you have two regular 6-sided dice, with sides numbered from 1 to 6 on each die. What is the probability of rolling them both at once, and getting a sum of TEN?

Answer

Probability = 3/36 = 0.08

Round your final answer to two decimal ...

#### Solution Summary

The solution provides step-by-step method for the calculation of probabilities, conditional probabilities, mean, variance and standard deviation of probability distribution. Formula for the calculation and Interpretations of the results are also included.