Mutually and Not Mutually Exclusive Events

If a spinner is numbered 1 – 8, when you spin it the events of spinning an odd number and spinning an 8 are ...

• Mutually Exclusive

• Not Mutually Exclusive

Given events such that P(A) = 0.14, P(B) = 0.23, and P(A or B) = 0.37. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Given events such that P(A) = 0.63, P(B) = 0.21, and P(A or B) = 0.84. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Given events such that P(A) = 0.9, P(B) = 0.11, and P(A or B) = 0.99. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Given events such that P(A) = 0.7, P(B) = 0.6, and P(A or B) = 0.42. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Given events such that P(A) = 0.18, P(B) = 0.77, and P(A or B) = 0.95. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Given events such that P(A) = 0.3, P(B) = 0.1, and P(A or B) = 0.03. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Which of the following pairs of events is mutually exclusive?

• Cards: Aces and Spades

• Two dice: Odd and even

• Sit down and stand up

• Sit down and scratch your nose

There are 30 children in a class and they all have at least one cat or dog. 14 children have a cat, 19 children have a dog. What is the probability that a child chosen at random from the class has both a cat and a dog?

In a group of 25 boys, 20 play ice hockey, and 17 play baseball. They all play at least one of the games.

What is the probability that a boy chosen at random from the class plays ice hockey but not baseball?