Billy is running for president of the math club see figure b

Billy is running for president of the math club (see figure below). There are an equal number of boys and girls at Billy’s school, and Billy has conducted a preliminary survey of each in order to estimate how many votes he can expect to get. Using what you know about conditional probability, explain why his estimate of how many votes he will get is or is not correct.

Solution

ESTIMATE GIVEN BY BILLY IS NOT CORRECT AS GETTING 21% VOTE OF BOYS AND 30% OF DOES NOT MAKE IT 51% OF THE CLASS VOTES

SUPPOSE WE HAVE 100 GIRLS AND 100 BOYS IN SCHOOL

SO ACCORDING TOT HE SURVEY HE WILL GET 21 VOTES FROM BOYS AND 30 VOTES FROM GIRLS

TOTAL HE WILL GET 51 VOTES

51/200 = 0.255

0.255*100 = 25.5% OF THE VOTES HE WILL GET NOT THE 51% OF VOTES.