Q:
What is the Probability of all cars not clashing each other ?
Answer & Explanation
Answer: C) 1/4
Explanation: Non collision can happen only when all the cars move in same direction.
That is either all cars moving in clockwise direction or all cars moving in anti clockwise direction.
P(all cars not colliding)
= P(all cars moving in the same direction)
= P(all cars moving in clockwise direction) + P(all cars moving in anticlockwise direction)
= [p(A --> C) x p(C --> B) x p(B --> A)] + [p(A --> B) x p(B --> C) x p(C --> A)]
= [1/2 x 1/2 x 1/2] + [1/2 x 1/2 x 1/2]
= 1/8 + 1/8
= 1/4
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