Question

A toy store has two versions of a toy, 52 red versions and 48 blue versions. If 10 children buy one of the toys, choosing them randomly, what is the probability that 4 of the 10 children buy a toy that will be blue?

Answer 1

The probability that 4 out of 10 children buy a blue toy is 489,154.29%.

Step-by-step explanation:

To find the probability that 4 out of 10 children buy a blue toy, we need to use the concept of combinations and probability.

Step 1: Determine the total number of ways to choose 4 out of 10 children: C(10, 4) = 210.

Step 2: Determine the total number of ways to choose 4 blue toys and 6 toys from the remaining (48 blue toys and 52 red toys): C(48, 4) * C(52, 6) = 102,722,400.

Step 3: Calculate the probability by dividing the number of favorable outcomes by the number of total outcomes: P(4 out of 10 children buy a blue toy) = 102,722,400 / 210 = 489,154.29%.