High School

82% of companies ship their products by truck.
47% of companies ship their products by rail.
40% of companies ship by both truck and rail.

What is the probability that a company ships by truck or rail?

Answer :

The probability that a company ships by truck or rail is 89%.

To calculate the probability that a company ships by truck or rail, we need to add the probability of shipping by truck to the probability of shipping by rail, and then subtract the probability of shipping by both truck and rail (to avoid double counting):

P(shipping by truck or rail) = P(shipping by truck) + P(shipping by rail) - P(shipping by both truck and rail)

We are given that:

P(shipping by truck) = 82%

P(shipping by rail) = 47%

P(shipping by both truck and rail) = 40%

Plugging in these values, we get:

P(shipping by truck or rail) = 82% + 47% - 40%

= 89%

Therefore, the probability that a company ships by truck or rail is 89%.

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