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Probability 6.16 Answer Key

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Simple Probability
#1 What is the probability of choosing a yellow flower if there are 6 yellow flowers? 6/6 or 1
#2 What is the probability of choosing a green marble if I have 4 red, 2 green, and 1 blue? 2/7
#3 What is the probability of choosing a white sock when a drawer has 3 yellow, 4 white and 1 black sock? 1/2
#4 What is the probability of rolling a 5 on a six sided number cube? 1/6
#5 What is the probability of rolling an even number on a six sided number cube? 1/2
Independent Probability
#1 What is the probability of rolling a 6 and then rolling a 2 on a six sided number cube? 1/6 x 1/6 = 1/36
#2 A bowl holds 10 jelly beans. 5 are red and 5 are purple. What is the probability of choosing a purple, putting it back and then choosing a red? 5/10 x 5/10 = 25/100 = 1/4
#3 What is the probability of spinning a green on a three sectioned spinner with red, blue, and green sections, and then spinning a blue? 1/3 x 1/3 =1/9
#4 What is the probability of flipping a coin and landing on heads, and rolling a six sided number cube and rolling a 1? 1/2 x 1/6 = 1/12
#5 What is the probability of picking a blue crayon from a box of 12 different colors, putting it back and next choosing a yellow? 1/12 x 1/12 = 1/144
Dependent Probability
#1 What is the probability of choosing strawberry ice cream when offered chocolate, vanilla, or strawberry, eating your first choice, and then choosing chocolate? 1/3 x 1/2 = 1/6
#2 What is the probability of choosing a white sock from a drawer of socks that contain 6 white socks and 4 blue socks, putting it on your foot and then choosing another white sock? 6/10 x 5/9 = 30/90= 1/3
#3 What is the probability of choosing a sharpened pencil out of a pack of 4 sharpened and 2 unsharpened pencils , and then choosing an unsharpened pencil? 4/6 x 2/5 = 8/30 = 4/15
#4 There are 5 cookies, 2 candy bars, and 3 bags of chips in the pantry. What is the probability you choose a candy bar, eat it up, and then choose a cookie? 2/10 x 5/9 = 10/90 = 1/9
#5 What is the probability of choosing an even numbered card from ten cards numbered one through ten, throwing it away, and choosing an odd numbered card next? 5/10 x 5/9= 25/90 = 5/18
Dependent or Independent?
#1 Take a cookie, eat it, and take another. Dependent
#2 Grab a sock, put it on, grab another. Dependent
#3 Roll a dice and spin a spinner. Independent
#4 Choose a card from a deck and then choose another after replacing the first card. Independent
#5 Grab a crayon, break it and throw it away, and then grab another crayon. Dependent
True or False
#1 Eating a jelly bean and then eating another jelly bean from a bag creates a dependent event. True
#2 Spinning a spinner and rolling a dice creates an independent event. True
#3 Flipping a coin and spinning a spinner creates a dependent event False
#4 Eating an ice cream sandwich from a new box, and then eating another is an independent event. False
#5 Grabbing a pair of jeans, putting them back and grabbing another is an independent event. True
Final Question