Q1 Suppose you are tossing two six sided dice. How many simple events are there

Question

Q1 Suppose you are tossing two six sided dice. How many simple events are there in the sample space?

a. 6

b. 12

c. 15

d. 36

Q2 When tossing two six sided dice, what is the probability that the sum of the two values will be less than 4?

a. 3/36

b. 1/15

c. 5/36

d. 1

Q3 When tossing two six sided dice, what is the probability that the first value is a 6?

a. 2/19

b. 1/6

c. 1/36

d. 1

Consider the contingency table:

1000 students are asked about their preference in pizza. The responses as well as the student’s gender are recorded below. I suggest you find the row and column totals before calculating probabilities.

Pepperoni

Sausage

Cheese

Male

156

214

144

Female

203

62

221

Q4 What is the probability that a student selected at random is male? (in decimal form rounded to three places)

Q5 What is the probability that a student selected at random prefers pepperoni pizza? (in decimal form rounded to three places)

Q6 What is the probability that a student selected at random is female and prefers cheese pizza? (in decimal form rounded to three places)

Q7 What is the probability that a student selected at random is female or prefers cheese pizza? (in decimal form rounded to three places)

Q8 What is the probability that a student selected at random is male or prefers sausage pizza? (in decimal form rounded to three places)

Q9 What is the probability that a student selected at random prefers sausage pizza, given that they are male? (in decimal form rounded to three places)

Q10 What is the probability that a student selected at random is female, given that they prefer pepperoni pizza? (in decimal form rounded to three places)

Pepperoni

Sausage

Cheese

Male

156

214

144

Female

203

62

221

Explanation / Answer

Question 1)  Suppose you are tossing two six sided dice. How many simple events are there in the sample space?

sample space = 62 = 36

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