A bag contains 25 marbles; 10 black, 13 red, and 2 blue. A marble is drawn from the bag at random.

a.) Explain why the events "getting a black marble" and "getting a red marble" are mutually exclusive.

b.) What is the probability of getting a red or a blue marble?

c.) A car approaching an intersection has a 0.1 probability of turning left and a 0.2 probability of turning right. Explain why the events are mutually exclusive. What is the probability that the car will turn?

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Mathematics

9 March, 21:11

A bag contains 25 marbles; 10 black, 13 red, and 2 blue. A marble is drawn from the bag at random.

a.) Explain why the events "getting a black marble" and "getting a red marble" are mutually exclusive.

b.) What is the probability of getting a red or a blue marble?

c.) A car approaching an intersection has a 0.1 probability of turning left and a 0.2 probability of turning right. Explain why the events are mutually exclusive. What is the probability that the car will turn?

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Dana Perry · Answer 1

For the answer to the question above asking to e xplain why the events "getting a black marble" and "getting a red marble" are mutually exclusive.

A marble can have only one color, so you cannot choose a marble that is both black and red. Therefore the events are mutually exclusive (cannot happen simultaneously)