Joint probability problem-mutually independent distributions

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The probability of Toyota building a new production plant is 70% and the probability of GM building a new one is 50%. The following are the probabilities associated with the countries Toyota would build a new plant:

U.S. .15

Canada .30

Mexico .30

Korea .25

The probabilities associated with the countries GM would build a new plant are:

U.S .10

Canada .60

Mexico .15

Korea .15

What is the probability that both will open a plant in Canada assuming the decisions are mutually statistically independent?

a. 2.1%

b. 6.3%

c. 13.3%

d. 90 %

e. None of the above

Reference no: EM13102396

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