Chapter 13.6, Problem 40SPR

To determine

To determine whether the events are independent or dependent. Also find probability.

Answer to Problem 40SPR

Independent events.

Probability is $\frac{1}{36}$ or 2.8%

Explanation of Solution

Given information :

A die is rolled, we got 2. Again die is rolled, we get a 3.

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.

There is no effect of probability of rolling first die to the probability of rolling second die. Hece they are independent events.

Here total possibilities are 6.

Probability of getting a 2 is $\frac{1}{6}$

Probability of getting a 3 is $\frac{1}{6}$

Hence,

P(getting 3 and getting 2) $=\frac{1}{6}\cdot \frac{1}{6}=\frac{1}{36}$ or 2.8%