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

Vehicles coming to a certain intersection can either turn left, right or go straight. For any randomly selected car,

  • probability of turning to left is 0.1
  • probability of turning to right is 0.2
  • probability of driving straight is 0.7

Suppose that cars turn or go straight ahead are independent of one another.

  1. (5 points) If four cars were randomly selected, what is the probability that they all go straight?
  2. (5 points) If four cars were randomly selected, what is the probability that they all go in the same direction?
  3. (5 points) If three cars were randomly selected, what is the probability selected cars all go in a different direction?

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