Question

If a couple plans to have 6 ​children, what is the probability that there will be at least one girl​? Assume boys and girls are equally likely. Is that probability high enough for the couple to be very confident that they will get at least one girl in 6 ​children?

Answer 1

The correct answer would be, Yes the couple can be confident because the probability is close to 1.

Step-by-step explanation:

According to the question, we are assuming that getting a boy or a girl is equally likely.

Hence;

P(getting a girl) = 1/ 2

and

P(getting a boy) = 1/ 2 in one birth.

Given the total number of children they plan to have = 6

P(there will be at least one girl) = 1 - P (there will be no girl)

= 1 - P (all of them are boys)

= 1 − ( 1 /2 ) 6

= 0.984375

Correct Answer: Yes because the probability is close to 1.