Compound & Conditional Probability

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

These events are ...

• independent

  (the outcome of the first event does NOT effect the outcome of the second event)

• dependent

  (the outcome of the first event does effect the outcome of the second event)

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12

• 1/4

• 1/8

• 1/2

• 1/16

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

These events are ...

• independent

  (the outcome of the first event does NOT effect the outcome of the second event)

• dependent

  (the outcome of the first event does effect the outcome of the second event)

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

• 1/10

• 1/2

• 1/6

• 1/8

• 3/8

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?

Theses events are...

• independent

• dependent

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?

• 9/182
• 5/182
• 2/91
• 10/91

Sam is fishing in a new catch and release pond that was just stocked with 3 bluegill, 4 catfish, 7 bass, and 2 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp?

These events are...

• independent

• dependent

Sam is fishing in a new catch and release pond that was just stocked with 3 bluegill, 4 catfish, 7 bass, and 2 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp?

• 1/40

• 1/8

• 3/128

• 5/16

• 6/211

Cesar's piggy bank has 8 quarters, 2 dimes, 4 nickels, and 6 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel? 

• independent

• dependent

Cesar's piggy bank has 8 quarters, 2 dimes, 4 nickels, and 6 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel? 

• 1/50
• 2/95
• 1/10
• 4/19