At Central High School, there is a 20% chance a senior is 6 ft or taller, and 40% chance a senior is going to attend the local college. What is the probability a senior is shorter than 6 ft and not going to attend a local college

The probability a senior is shorter than 6 ft and not going to attend a local college is 48%

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability a senior is 6 ft or taller = 20%

Probability a senior is going to attend the local college = 40%

2. What is the probability a senior is shorter than 6 ft and not going to attend a local college?

If the probability a senior is 6 ft or taller = 20%, therefore the probability a senior is shorter than 6 ft = 100% - 20% = 80%

If the probability a senior is going to attend the local college = 40%, therefore the probability a senior is not going to attend the local college = 100% - 40% = 60%

In consequence, the probability a senior is shorter than 6 ft and not going to attend a local college is:

p = 80% * 60%

p = 0.8 * 0.6

p = 0.48