Question

Probability with OR

Answer 1

Answer:

1. 60.8%
2. 39.2%

Step-by-step explanation:

It is convenient to put the numbers into a table and fill in the remaining values. In the attachment, the given numbers are blue. The black numbers are the values that make the totals add up.

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1. The probability of interest is the sum of the numbers in the table spaces shaded blue. You can find that sum several ways. The usual way used for an "OR" probability is ...

  p(<16 or night) = p(<16) + p(night) - p(<16 & night)

  = 37.1% + 27.5% - 3.8%

  = 60.8%

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2. This probability is the complement of the one in the first part. It is the value in the yellow-shaded box.

  p(≥16 & day) = 1 - p(<16 or night) = 1 -60.8% = 39.2%