18.4 Causes of death. Government data assign a single cause for each death that

occurs in the United States. The data show that the probability is 0.34 that a

randomly chosen death was due to heart disease, and 0.23 that it was due to cancer.

What is the probability that a death was due either to heart disease or to cancer?

What is the probability that the death was due to some other cause?

Let P(H) = probability of death by heart disease

Let P(C) = probability of death by cancer

P(H) + P( C )

0.34 + 0.23 = 0.57 is the probability that a death was due either to heart disease

or to cancer

- Probabilities must be numbers between 0 and 1 (Rule A) and they must add to

exactly 1 (Rule B).

Let P (D)= probability of death by some other cause

1-0.57= 0.43 is the probability that the death was due to some other cause

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