Select Independent or Not independent for each situation. Not independent Independent a. A jar contains fifteen coins. Two coins
are picked randomly without replacement. b. A number cube is rolled twice. c. A box contains number cards labeled from 1 to 10. d. Two cards are chosen randomly with replacement. e. There are 3 green balls and 7 red balls in a bag. f. Two balls are chosen randomly without replacement.
The correct answers are a. Independent; b. Independent; c. Independent; e. Not Independent
Step-by-step explanation:
a. A jar contains fifteen coins which. Two coins are picked randomly without replacement. Thus the second pick is not dependent on the first pick as the coins in the all same and thus the experiment is independent.
b. A number cube is rolled twice. Outcome of the first roll is independent of the outcome in the second and thus the experiment is independent.
c. A box contains number cards labeled from 1 to 10 where 2 cards are chosen randomly with replacement. Hence first draw does not effect the sample making the experiment independent.
e. There are 3 green balls and 7 red balls in a bag with 2 balls are chosen randomly without replacement. Thus one pick depends on what is drawn in the previous pick thus making it a dependent or not independent event.
Since we are looking for books and tennis balls, we have to look at how many there are. There are 5 books and 8 tennis balls. We're looking for the ratio of books to tennis balls, so it has to be in that order. 5:8
