Question

Four people- Rob, Sonya, Jack, and Ang- enter their names into a drawing. The winner receives either a t-shirt or a mug, and which prize they receive is randomly selected. What is the probability that either Ang wins and is given a mug, or Jack wins (and is given either prize?) Write the answer as a precent.

Answer 1

Answer:  37.5%

Explanation:

The probability that Ang wins is 1/4 since he's one person out of the four total. This assumes each person has an equal chance at winning.

Once Ang wins, the chances of getting a mug are 1/2.

So the probability of Ang winning and getting a mug is (1/4)*(1/2) = 1/8

Meanwhile, the probability of Jack winning and getting either prize is 1/4, which we'll add to the previous result to get

1/8 + 1/4 = 1/8 + 2/8 = (1+2)/8 = 3/8

Then convert this to a percentage

3/8 = 0.375 = 37.5%