Chapter 13.5, Problem 9PPS

To determine

To determine whether the given events are independent or dependent, and find probability.

Answer to Problem 9PPS

The events are independent.

Probability is $\frac{1}{36}.$

Explanation of Solution

Given information:

Dice is rolled two times, outcome is 5 each time.

If any event A does not affect the outcome of an event B, then event A and B are independent whereas if it affects then the events are dependent.

Here we can determine that the events are independent. As the probability of rolling a dice first will have no effect on probability of rolling other dice.

Hence the probability of getting 5 each time is,

  $\text{P}=\frac{1}{6}\times \frac{1}{6}=\frac{1}{36}$