Respuesta :
The probability that a student has a brother given that they do not have a sister 9/7.
How to calculate the probability of an event?
Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given;
[tex]\rm P(E)=\dfrac{Number \ of \ favourable \ events}{Number \ of \ total \ events}\\\\[/tex]
In a class of 22 students, 13 have a brother and 15 have a sister.
There are 3 students who do not have any siblings.
3 students don't have a sibling.
The probability that a student has a brother given that they do not have a sister is;
[tex]\rm P(E)=\dfrac{Number \ of \ favourable \ events}{Number \ of \ total \ events}\\\\ \rm P(E)=\dfrac{13+15-22+3}{22-15}\\\\\rm P(E)=\dfrac{31-22}{7}\\\\ P(E)=\dfrac{9}{7}[/tex]
So, the probability that a student has a brother given that they do not have a sister 9/7.
Learn more about probability here:
brainly.com/question/11234923
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