Addition Rule of Probability Homework A) Determine whether these events are mutu

Question

Addition Rule of Probability Homework A) Determine whether these events are mutually excl At a large political gathering, you select a person at random to determine if the person is a Republican or female usive or Not 1. 2. At a large political gathering, you select a person at random to determine if the person is a Democrat or Independent 3. Flip a coin to determine if you get a head or tail 4. Roll a die to determine if you get a 4 or 6 5. Roll a die to determine if you get 3 or an odd number 6. Draw a card from a standard deck to determine if you get a queen and a heart 7. Draw a card from a standard deck to determine if you get a black card or a diamond 8. If one die is rolled, find the probability that it is even or a 1.

Explanation / Answer

1) not mutually exclusive

2) mutually exclusive

3)mutually exclusive

4)mutually exclusive

5)not mutually exclusive

6) Not mutually exclusive

7)

mutually exclusive

8)

mutually exclusive

B)9) prbability =1-P(neither even nor 1) =1-P(either 3 or 5) =1-(2/6) =4/6 =2/3

10)probability =1-P(first not and second is) =1-(0.14)*(1-0.14)=0.8796

11)probability of having brown or hazel eyes =(35+40)/92 =0.8152

12) probability =8/52=2/13 (as 4 ace and 4 queen cards)

13) probability =(27+13)/62=40/62 =20/31

14)P(ace or Jack) =8/52 =2/13 (as 4 ace and 4 Jack cards)

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