Exercise 36 Page 160

The two events described in this exercise are drawing a card with a letter and rolling a die. Since neither of these events affects the probability of the other, these are independent events. If two events are independent, then the probability of both occurring is the product of their individual probabilities. P(AandB)=P(A)* P(B) Let's start by calculating the probability of drawing a letter that occurs in Liz name. P(A)&=3/26 l←letters in Liz name ←all letters Let's now find the probability of rolling an odd number. On a regular die, there are three odd numbers, 1, 3 and 5. P(B)&=3/6 l←odd numbers ←possible outcomes Finally, we multiply P(A) and P(B).

P(AandB)=P(A)* P(B)

SubstituteII

P(A)= 3/26, P(B)= 3/6

P(AandB)= 3/26* 3/6

ReduceFrac

a/b=.a /3./.b /3.

P(AandB)=3/26*1/2

MultFrac

Multiply fractions

P(AandB)=3/52

This corresponds with answer H.