1. List the sample space for the following experiments: a. Flipping two coins b.

Question

1. List the sample space for the following experiments: a. Flipping two coins b. Rolling a single die c. Randomly choosing a person from the following group of people: Moe, Larry, Curly 2. How many possible outcomes are there in the sample spaces for the foilowing experments? a. Flipping three coins b. Drawing a single card from a deck of cards C. Rolling two dice 3. For each Event E, list E,E's complement Coin shows heads Choosing a male EChoosing 1,2,4or7 E a. Experiment: Flipping one coin b. Experiment: Choosing a random person by gender c. Experiment: Randomly drawing a number between 1 and 10 At a men's clothing stone, 12 men purchased blue sweaters, 8 purchased green sweaters, gray sweaters, and 7 bought black sweaters. If a customer is selected at random, find the purchased probability that he purchased a. A blue sweater b. A green or gray sweater c A green or black or blue sweater d. A sweater that was not black

Explanation / Answer

1:

a)

Let H shows the head and T shows the tail. So

S = {HH, HT, TH, TT}

b)

S = {1, 2, 3, 4, 5, 6}

c)

S = {Moe, Lary, Curly}

2)

a)

Possible number of outcomes when three coins are flipped is 2*2*2 = 8

b)

Since there are 52 cards so possible number of outcomes in sample space is 52.

c)

Possible number of outcomes when 2 dice are rolled is 6*6 = 36.

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