The table shows perfects of dancing or playing sports
Male Students
16 Likes playing sports, 18 like dancing the total row is 34
Female student
35 likes playing sports, 18 like dancing total row is 53
The total column total for both male and female for sports is 51 and for dance its 36 the total Is 87
Complete the conditional probability
We can calculate the conditional probability of a student liking sports given that they are a male student by using the formula:
P(Sports | Male) = P(Sports and Male) / P(Male)
P(Sports and Male) = 16
P(Male) = 34
P(Sports | Male) = 16 / 34 ≈ 0.471
Therefore, the conditional probability of a student liking sports given that they are a male student is approximately 0.471.