Question

Consider the experiment: You have 30 marbles in a jar - 5 are red, 10 are blue, and 15 are yellow. You randomly pick one marble from the jar.

Which of the following uses the complement rule to calculate the probability of NOT picking a red marble?

O 1- 5/30
O 1- 25/30
O 5
O 1-5
O 5/30

Answer 1

The correct answer is option 1. To find the probability of not picking a red marble using the complement rule, subtract the probability of picking a red marble from 1, resulting in 25/30 or 1 - 5/30.

Step-by-step explanation:

The question pertains to calculating the probability of not picking a red marble from a jar that contains marbles of different colors using the complement rule in probability theory. To use the complement rule, we determine the probability of the event we are interested in not happening. Since there are 5 red marbles in a jar of 30 marbles, the probability of picking a red marble is 5/30.

Therefore, the probability of not picking a red marble, which is the complement, would be 1 minus the probability of picking a red marble (1 - 5/30). Simplifying the expression gives us 25/30. Hence, the correct option using the complement rule to calculate the probability of not picking a red marble is 1 - 5/30.