7. About 8% of the population of a large country is hopelessly romantic. If two

Question

7. About 8% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic?

(a) The probability that both will be hopelessly romantic is ?

(Round to four decimal places as needed.)

(b) The probability that at least one person is hopelessly romantic is ?

(Round to four decimal places as needed.)

8. Suppose that E and F are two events and that P(E)=0.2 and P (F|E)=0.1. What is P(E and F)?

P (E and F)= ?

(Simplify your answer.)

11. Find the value of the factorial.

7! = ? (Type a whole number.)

12. Find the value of the permutation.

2P2 = ? (Type a whole number)

13. Find the value of the combination.

8C1= ?

Explanation / Answer

1. P(romantic)=0.08

P(both are romantic)=0.08*0.08=0.0064

P(atleast one is romatic)=1-P(none is romantic)=1-(1-0.08)*(1-0.08)=0.1536

2. P(E)=0.2 and P (F|E)=0.1. P(E and F) =P(F|E)*P(E)=0.1*0.2=0.02

3. 7! =7*6*5*4*3*2*1=5040

4. 2P2= 2!/(2-2)!=2

5. 8C1=8

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