Exercise 9 Page 919

The two events described in this exercise are getting a 5 on the first die and getting a 5 on the second 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 rolling a five on the first die.

Out of 6 sides on a die, 1 of them is numbered five. P(A)&=1/6 l←Sides numbered5 ←Total sides P(B) is the probability of getting a five on another die. The second die also has 6 sides and 1 of them is numbered five. P(B)&=1/6 l←Sides numbered5 ←Total sides Finally, according to the formula, to calculate P(AandB) we have to multiply P(A) and P(B).

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

SubstituteII

P(A)= 1/6, P(B)= 1/6

P(AandB)= 1/6* 1/6

MultFrac

Multiply fractions

P(AandB)=1/36

▼

Convert to percent

UseCalc

Use a calculator

P(AandB)=0.027

RoundDec

Round to 2 decimal place(s)

P(AandB)≈0.03

WritePercent

Convert to percent

P(AandB)≈3 %

Probability of the given event is equal to 136 or about 3 %.