Question

Four balls are selected at random without replacement from an urn containing three white balls and five blue balls. Find the probability of the given event. (Round your answer to three decimal places.)

All of the balls are blue

Answer 1

To find the probability of selecting all blue balls, we divide the number of ways to choose 4 blue balls out of 8 by the number of ways to choose 4 balls out of 8 blue balls and 3 white balls.

Step-by-step explanation:

To find the probability of selecting all blue balls, we need to consider the number of ways we can choose 4 blue balls out of the 8 blue balls in the urn, divided by the total number of ways we can choose 4 balls out of the 8 blue balls and 3 white balls in the urn.

The probability can be calculated as:

P(All blue balls) = (Number of ways to choose 4 blue balls out of 8) / (Number of ways to choose 4 balls out of 8 blue balls and 3 white balls)

Since the balls are selected without replacement, the number of ways to choose 4 blue balls out of 8 is 8 choose 4. The number of ways to choose 4 balls out of 8 blue balls and 3 white balls is 11 choose 4.

Therefore, the probability of selecting all blue balls is P(All blue balls) = (8 choose 4) / (11 choose 4).

Answer 2

M y bal ls are blue










Please forgive me, the answer is 5/8