Compound Probability

A bag contains 5 yellow, 4 green, and 2 blue marbles. One marble is drawn and immediately put back in the bag. Then a second marble is drawn. Identify whether the events are independent or dependent. 

• Independent
• Dependent

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Two cards are drawn from a standard deck of cards and no cards are returned to the deck. Identify whether the events are independent or dependent. 

• Independent
• Dependent

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CCSS.7.SP.C.5

A box contains 3 black pens, 7 blue pens, and 5 red pens. Without looking, P(red or black)

• 8/15
• 15/225
• 5/15
• 3/15

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There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

• 2/5
• 1/21
• 4/25
• 1/7

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CCSS.7.SP.C.5

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There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

• 1/3
• 2/9
• 1/6
• 1/4

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CCSS.7.SP.C.5

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Theoretically, what is the probability of rolling a sum of two with a pair of dice?

• 1/6
• 2/12
• 1/36
• 1/18

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A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails? 

• 17/26
• 1/13
• 5/13
• 5/26

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CCSS.7.SP.C.5

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A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 

• 2/3
• 5/36
• 1/9
• 1/36

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CCSS.7.SP.C.5

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Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill, 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp? 

• 5/24
• 11/30
• 2/75
• 7/60

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CCSS.7.SP.C.5

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Jacob's piggy bank has 18 quarters, 20 dimes, 24 nickels, and 43 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel?

• 9/52

• 4/91

• 44/105

• 11/26

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CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8