Students attending an experimental school are classified by grade (grades 6-12),
ID: 2933050 • Letter: S
Question
Students attending an experimental school are classified by grade (grades 6-12), yes/no as to whether they take the bus to school, yes/no as whether they are taking an art class, yes/no as to whether they are taking a foreign language, and yes/no as to whether they are in the school's band. How many classifications (outcomes) are there?
A jar contains green wrapped candies and yellow wrapped candies. A person selects two wrapped candies without replacement. If the probability of selecting a green candy and a yellow candy is 3/8, and the probability of selecting green candy on the first draw is 11/16, find the probability of selecting the yellow candy on the second draw, given that the first candy selected was a green one. Give your answer as a decimal rounded to the hundredths place.
If four cards are drawn from an ordinary deck without replacement, what is the probability that at least one of the cards is from the club's suit. Hint: use complement. Be sure to give your answer as a decimal rounded to the hundredths place.
Explanation / Answer
A) Total number of classifications = 7 x 2 x 2 x 2 x2 = 112
B) P(green candy and yellow candy) = 3/8
P(first green and second yellow) = (3/8)/2 = 3/16
11/16 x p(yellow) = 3/16
p(yellow) = 3/11 = 0.27
C) P(at least 1 card is from club's suit) = 1 - P(no card is from club's suit)
= 1 - 39C4/52C4
= 1 - 0.30
= 0.70