Question

mr. hill is about to give one of his students a piece of candy for asking a good question in class. hes going to choose the piece of candy at random out of a bag he brings to class. the following pieces of candy are in the bag: 10 apple gumballs, 9 grape gumballs, 11 apple suckers, and 7 grape suckers. what is the probability that the piece of candy mr. hill chooses is apple or is a gumball? do not round intermediate computations, and round your answer to the nearest hundredth.

Explanation:

Step1: Calculate total number of candies

$10 + 9+11 + 7=37$

Step2: Calculate number of apple - or - gumball candies

Number of apple candies: $10 + 11=21$. Number of gumball candies: $10 + 9 = 19$. But we double - counted apple gumballs (10 of them). So number of apple or gumball candies is $21+19 - 10=30$.

Step3: Calculate the probability

Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{30}{37}\approx0.81$

Answer:

$0.81$