Abag contains 5 white marbles and 5 blue marbles. you randomly select one marble from the bag and put it back. then, you randomly select another marble from the bag. which calculation proves that randomly selecting a white marble the first time and a blue marble the second time are two independent events?

P(W) and P(B) are independent events.

Step-by-step explanation:

Given : A bag contains 5 white marbles and 5 blue marbles. You randomly select one marble from the bag and put it back. Then, you randomly select another marble from the bag.

To find : Which calculation proves that randomly selecting a white marble the first time and a blue marble the second time are two independent events?

Solution :

Independent events - When the probability that one event occurs in no way affects the probability of the other event occurring.

We have given, 5 white marbles and 5 blue marbles.

Total number of outcomes = 5+5=10

The probability that a white marble the first time,

Their is a replacement occurs,

The probability that a blue marble the second time,

The probability of occurrence of a Blue marble is not affected by occurrence of the probability that we get white marble in first attempt.

Hence, P(W) and P(B) are independent events.