MATH SOLVE

3 months ago

Q:
# in a class of 30 students there are 17 girls. two students are picked randomly to represent the class in the SRC. determine the probability that: a. both students are boysb. both students are girlsc. one of the students is a boy

Accepted Solution

A:

Answer:See below in bold,.Step-by-step explanation:There are 30-17 = 13 boys in the class.a. Prob(First is a boy ) = 13/30 and Prob( second is a boy = 12/29).As these 2 events are independent:Prob( 2 boys being picked) = 13/30 * 12/29 = 26/145 or 0.179 to the nearest thousandth.b. By a similar method to a:Prob ( 2 girls being picked) = 17/30 * 16/29 = 136/435 = 0.313 to the nearest thousandth.c. Prob (First student is a boy and second is a girl) = 13/30 * 17/29 = 221/870.Prob ( first student is a girl and second is a boy) = 17/30 * 13/29 = 221/870These 2 events are not independent so they are added:Prob( one of the students is a boy) = 2 (221/870 = 221/435 = 0.508 to the nearest thousandth.