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2 March, 09:59

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

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  1. 2 March, 10:07
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    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
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