Answer:
The probability of obtaining at least one white is 0.9946
Step-by-step 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