Question

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 a red a and two whites .

Answer 1

The probability of picking a red and two whites is 0.0594

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 picking a red from the first jar, a white from the second jar, and then a white from the third jar, given as p(R, W, W)

p(R, W, W) = (0.6)(0.1)(0.99) = 0.0594

Therefore, the probability of picking a red and two whites is 0.0594