Question: Vehicles coming to a certain intersection can either turn left or right or go straight. For any randomly selected car, the probability of turning left

Vehicles coming to a certain intersection can either turn left or right or go straight. For any randomly selected car, the probability of turning left is 0.1, the probability of turning right is 0.2 and the probability of driving straight is 0.7. Suppose that cars turn or go straight ahead are independent of one another.

1. If four cars were randomly selected, what is the probability that they all go straight?

2. If four cars were randomly selected, what is the probability that they all go in the same direction?

3. If three cars were randomly selected, what is the probability that the selected cars all go in a different direction?

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