# 10

Given that a die is rolled twice and the sum of the numbers is noted to be 6, what is the conditional probability that the number 4 has occurred at least once?

# 1

What is the likelihood of drawing two cards with the same suite (from the same deck)?

# 3

We choose two cards at random from a deck of cards with numbers ranging from 1 to 100. What is the likelihood that a number on one card is precisely twice the number on the other?

# 4

N riders receive a \$5 off voucher. P is the likelihood that a coupon will be used. What is the company's anticipated cost?

# 5

What is a p-value? If you had a different (far larger, 3 mil records, for example) data set, would it affect how you interpret the p-value?

# 6

Out of 100 goods, 25 are of poor quality. What is the range of confidence?

# 7

How would you use Bayes' Rule to test hypotheses?

# 8

Suppose you roll a die & get the face you roll. Now you get another chance to roll die. If you roll, you receive the face you obtain and keep your winnings from the previous round. When should second roll be made?

# 9

A discount coupon is given to 2 riders. The probability of using a coupon is P. Given that at least one of them uses a coupon, what is the probability that both riders use the coupons?

# 10

A and B are playing a game where each player flips all of their coins. A has n+1 coins, and B has n coins. What is the probability that A will have more heads than B?