University:
High School
Course:
High School Mathematics
Academic year:

2021
Views:

53

Pages:

2
Author:

Nyla Bryant

12.1 Class Review In Exercises 1 and 2, find the number of possible outcomes in the sample space. Then list the possible outcomes. You flip three coins. First Flip Second Flip Third Flip H H H H H T H T H H T T T H H T H T T T H T T T 2 x 2 x 2 = 8 total choices A clown has three purple balloons labeled a, b, and c, three yellow balloons labeled a, b, and c, and three turquoise balloons labeled a, b, and c. The clown chooses a balloon at random. Purple Yellow Turquoise a a a a a b a a c a b a a b b a b c a c a a c b a c c b a a b a b b a c b b a b b b b b c b c a b c b b c c c a a c a b c a c c b a c b b c b c c c a c c b c c c 3 x 3 x 3 = 27 total possible outcomes Your friend has eight sweatshirts: three green, one white, and four blue. You forgot your sweatshirt, so your friend is going to bring one for you as well as one for himself. What is the probability that your friend will bring two blue sweatshirts? G1G2 G1B1 G1B2 G1B3 G1W G2G1 G2B1 G2B2 G2B3 G2W B1G1 B1G2 B1B2 B1B3 B1W B2G1 B2G2 B2B2 B2B3 B2W B3G1 B3G2 B3B2 B3B3 B3W WG1 WG2 WB1 WB2 WW 8 x 7 = 56 total combos 4 x 3 = 12 blue/blue combos 12/56 = 3/14 The estimated percentage student GPA distribution is shown. Find the probability of each event. a. A student chosen at random has a GPA of at least 3.0. 25% + 12% + 7% = 44% b. A student chosen at random has GPA between 1.0 and 2.9, inclusive. 14% + 41% = 55% A bag contains the same number of each of four different colors of marbles. A marble is drawn, its color is recorded, and then the marble is placed back in the bag. This process is repeated until 40 marbles have been drawn. The table shows the results. For which marble is the experimental probability of drawing the marble the same as the theoretical probability? Color Theoretical Probability Experimental Probability Red ¼ = 0.25 10/40 = 0.25 Blue ¼ = 0.25 7/40 = 0.175 Yellow ¼ = 0.25 11/40 = 0.275 Black ¼ = 0.25 12/40 = 0.3 The experimental probability for the red marble is the same as the theoretical probability.