Answer:
a) [tex]\frac{63}{64}[/tex]
b) The probability for the couple to be very confident that they will get at least one boy in 6 children is [tex]98.43[/tex]%
Step-by-step explanation:
The probability of having a boy or girl is [tex]0.5[/tex]
A couple plans to have 6 children
Probability of having at least one male child
[tex]1- (0.5)^6\\[/tex]
On solving the above term, we get -
[tex]1- (\frac{1}{2})^6\\= 1-\frac{1}{64}\\ = \frac{63}{64}[/tex]
The probability for the couple to be very confident that they will get at least one boy in 6 children is
[tex]\frac{63}{64}* 100\\ = 98.43[/tex]
Thus, the probability is very high
