Statistics: Probability

1. In a bag of Skittles, there are 40 pieces of candy that can be five different flavors. If randomly choose one candy,  the chances of receiving a grape one is $\dfrac{1}{8}$, how many other skittles are in the bag?

(A) 32

(B) 5

(C) 8

(D) 35

(E) 28

2. Javier bought a ticket In a school raffle. There were 264 tickets sold and only 8 randomly selected tickets get prizes. What are the chances that Javier wins a prize?

(A) $\dfrac{1}{264}$

(B) $\dfrac{1}{64}$

(C) $\dfrac{1}{33}$

(D) $\dfrac{3}{66}$

(E) $\dfrac{1}{80}$

3. Jenifer went to a shaved ice shop. She could choose any of the 12 flavors and choose one out of the 50 special toppings. What are the chances that she did not choose a strawberry flavored shaved ice with sprinkles on top?

(A) $\dfrac{1}{600}$

(B) $\dfrac{599}{600}$

(C) $\dfrac{12}{50}$

(D) $\dfrac{6}{25}$

(E) $\dfrac{2}{600}$

4. In a high school gymnasium holds 1008 people. During a volleyball game, one person will win a gift card. If the probability that the a female student will be selected is $\dfrac{7}{12}$, how many female students are in the gymnasium?