Answer:
A) The probability that a randomly chosen car is made in Germany or Japan is 40%.
B) The probability that a car chosen at random is not made in the United States is 60%.
C) The probability that two randomly chosen cars are both from Japan is 9%.
Step-by-step explanation:
Supposing that 40% of cars in my area are manufactured in the US, 30% in Japan, 10% in Germany, and 20% in other countries, to determine the probabilities that a car selected at random is made in Germany or Japan, a car selected at random is not US-made and two cars are selected at random, both are from Japan, the following calculations must be performed:
A)
(30 + 10) / 100 = X
40/100 = X
0.4 = X
Therefore, the probability that a randomly chosen car is made in Germany or Japan is 40%.
B)
(30 + 10 + 20) / 100 = X
60/100 = X
0.6 = X
Therefore, the probability that a car chosen at random is not made in the United States is 60%.
C)
10/30 x 10/30 = X
0.3 x 0.3 = X
0.09 = X
Therefore, the probability that two randomly chosen cars are both from Japan is 9%.