A self driving car makes a forbidden U-turn and a regular car crashes against it. Three...

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A self driving car makes a forbidden U-turn and a regular car crashes against it. Three witnesses, whom we call Bison, Rabindranath, and Tom saw what happened. Suppose the reliability of the witnesses is estimated by having the witnesses observe a number of similar scenes. It is found that Bison has probability 0.9 of stating that the self-driving car did a forbidden U- turn, Rabindranath has probability 0.8 of stating that, and Tom has probability 0.7 of stating that. Let A, B, and C denote, respectively, the events that persons Bison, Rabindranath and Tom will state that the self driving car did the forbidden U-turn. Assuming that these events are independent events, calculate the probability that all three witnesses will testify that the self-driving car did the forbidden U-turn. A self driving car makes a forbidden U-turn and a regular car crashes against it. Three witnesses, whom we call Bison, Rabindranath, and Tom saw what happened. Suppose the reliability of the witnesses is estimated by having the witnesses observe a number of similar scenes. It is found that Bison has probability 0.9 of stating that the self-driving car did a forbidden U- turn, Rabindranath has probability 0.8 of stating that, and Tom has probability 0.7 of stating that. Let A, B, and C denote, respectively, the events that persons Bison, Rabindranath and Tom will state that the self driving car did the forbidden U-turn. Assuming that these events are independent events, calculate the probability that all three witnesses will testify that the self-driving car did the forbidden U-turn.

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Since the events A B and C are independent we can use the multiplication rule ... View the full answer