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?

Respuesta :

Answer:

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

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.

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