Question

Baby chicks that are sold as female actually are female only 90% of the time. If I buy 7 baby chicks, what is the probability (to the nearest percent) that at least 1 of the six is male?

[Hint: What is the complement, or opposite, of the situation "At least 1 is male?]

Answer 1

The question involves calculating the probability that at least one of seven baby chicks is male, assuming a 90% chance for each to be female. We calculate the complement (all chicks are female) and subtract that probability from 1 to get our final answer.

Step-by-step explanation:

The subject of this question is Mathematics, specifically focusing on the concept of probability. To find the probability that at least one of the seven baby chicks is male, we should first find the complement of this event. The complement is that all seven chicks are female. Since each chick has a 90% chance of being female, we can calculate the probability that all seven are female by raising 0.90 (the probability of one chick being female) to the power of 7. This calculation will give us the probability of the complement event.

Then we subtract the probability of the complement event from 1 to find the probability that at least one is male. So, if P(female) = 0.90, then:

• P(all seven are female) = P(female)^7 = 0.90^7
• P(at least one is male) = 1 - P(all seven are female)

To get the answer to the nearest percent, we perform the calculation and round the result accordingly.