Probability of Compound and Independent/Dependent Events

Are the events considered independent or dependent?

• Independent

• Dependent

Are the events considered independent or dependent?

• Independent

• Dependent

Are the events considered independent or dependent?

• Independent

• Dependent

You are playing a game that requires rolling a die twice. Using a sample space, what formula would you use to prove that rolling a 2 and then a 6 are considered independent events?

• (1/6)(1/6) = 1/36

• (2/6)(6/6) = 12/36

• (1/6) + (1/6) = 2/6

• (2/6) + (6/6) = 8/6

A game show host picks contestants for a game from an audience of 150. Would the following events be considered independent or dependent?

A: The host randomly chooses a 30 year old

B: Then the host randomly chooses a 19 year old

• Independent

• Dependent

A hat contains 10 pieces of paper numbered 1 through 10. Find the probability that you randomly choose the number 1, you replace the number, and then you randomly choose the number 10.

• 1/10

• 1/20

• 1/100

• 1/50

A hat contains 10 pieces of paper numbered 1 through 10. Find the probability that you randomly choose the number 5, you do not replace the number, and then you randomly choose the number 6.

• 1/10

• 1/90

• 1/100

• 1/9

Find the probability:

• 60%

• 80%

• 140%

• 48%

You are playing a game that requires flipping a coin twice. Using a sample space, which formula would you use to prove that flipping heads and then tails are independent events?

• (1/2)(1/2) = (1/4)

• (1/2) + (1/2) = 1

• (1/2)(1/4) = (1/8)

• (1/2) + (1/4) = (3/4)

You are playing a game that requires flipping a coin twice. What would be the sample space for this event?

• {HH, HT, TH, TT}

• {HHH, TTT, HTT, THT, TTH, HHT, HTH, THH}

• {H, T}

• {1, 2, 3, 4, 5, 6}