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

Question

Mathematics

Trystan Mcclain

2 March, 08:24

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

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Answers (2)

Know the Answer?

Max · Answer 1

Answer: C) P (A and B) = 1/2 1/2

Noemi Bond · Answer 2

Event A = white marble is selected

Event B = blue marble is selected

P (A) = 5/10 = 1/2

p (B) = 5/10 = 1/2

Probability that A and B are independent events is:

P (A∩B) = 1/2 * 1/2

Answer: 1/4