You have three jars containing marbles, as follows: jar 1: 600 red and 400 white jar 2: 900 blue and 100 white jar 3: 10 green and 990 white If you randomly select one marble from each jar, calculate the probability of obtaining at least one white

The probability of obtaining at least one white is 0.9946

Explanation:

Probability = number of desired outcomes/number of possible outcomes.

The probabilities of obtaining a colour associated with each jar is given as follows:

Jar 1: total number of marbles = 600 +400 = 1000

Probability of Red, p(R) = 600/1000 = 0.6

Probability of White, p(W) = 400/1000 = 0.4

Jar 2: total number of marbles = 900 + 100 = 1000

Probability of Blue, p(B) = 900/1000 = 0.9

Probability of White, p(W) = 100/1000 = 0.1

Jar 3: total number of marbles = 990 + 10 = 1000

Probability of Green, p(G) = 10/1000 = 0.01

Probability of White, p(W) 990/1000 = 0.99

If marbles are randomly selected one marble from each jar, the probability of obtaining a red and two whites is the probability of obtaining at least one white is the same as the total probability of picking any colored marble minus the probability of not picking a white given as: 1 – p(no White)

Probability of at least one white, p(at least 1 W) = 1 – p(no W) = 1 – p(R, B, G)

p(at least 1 W) = 1 – (0.6)(0.9)(0.01) = 1 – 0.0054 = 0.9946

Therefore, the probability of obtaining at least one white is 0.9946