1. The number of committees of 8 people than can be formed from a total of 15 people is

Group of answer choices

(a)40,320

(b.)6,435

(c)259,459,200

(d)5,040

• A password contains 4 characters consisting of the letters A-Z and the digits 0-9.How man passwords are possible if the first character must be a letter and the last is a digit that is no more than 5?Assume repetition is allowed.

Total number of passwords= [answer]

For the probabilities below, express your final answers as decimal values.Remember to follow the guidelines about rounding probabilities.

Suppose that 56% of students in a university are female and the rest male.It is known that 10% of females smoke cigarettes on a daily basis while 15% of of men smoke cigarettes on a daily basis.A student is chosen at random from this campus.

a)What is the probability that a person chosen is a smoker?

b)What is the probabiity that the student is female given that the person is a smoker?

For the probabilities below, you may express your final answers as fractions or decimal values.Remember to follow the guidelines about rounding probabilities.

A jar contains 5 Red Marbles 1 Blue Marbles and4 Green Marbles.Two marbles are chosen from the jar at random without resplacement.

What is the probability that

a)both of the marbles are Green?

b)the marbles are the same color?

c) at least one of the marbles is red?

d) the marbles arenotthe same color?