Question

There are 100 gumdrops. 78 of them are large, and the rest are small. 33 of them are red, and the rest are other colors. 16 of the gumdrops are large red ones. You choose 1 gumdrop at random, and it is that yummy red color. What is the probability that the gumdrop is large, given that it is red?

Write fractions using the slash ( / ) key. Reduce fractions to their lowest terms.

Answer 1

large red ones= 16/78
33-16=17 small gumdrops

22 gumdrops are small
small red ones=17/22

Probability of large and small red ones:
prob. of large red ones: 16/78+22/22= 38/100=38%
prob. of small red ones: 17/22+78/78= 95/100=95%