High School

In a particular industry, it is known that 82% of companies ship their products by truck and 47% of companies ship their products by rail. 40% of companies ship their products by truck and rail.

The probability that a company ships by truck or rail or both is __________.

Answer :

The probability that a company ships by truck or rail or both is 0.89 or 89%.

We can solve this problem by using the formula for the probability of the union of two events:

P(A or B) = P(A) + P(B) - P(A and B)

where A and B are two events.

In this case, we want to find the probability that a company ships by truck or rail or both, which is equivalent to the probability of the union of the two events "shipping by truck" and "shipping by rail". Let T denote the event "shipping by truck" and R denote the event "shipping by rail".

From the problem statement, we know:

P(T) = 0.82

P(R) = 0.47

P(T and R) = 0.40

Using these probabilities, we can calculate:

P(T or R) = P(T) + P(R) - P(T and R)

= 0.82 + 0.47 - 0.40

= 0.89

Learn more about probability here: https://brainly.com/question/25839839

#SPJ11