SOLUTION: A number cube is rolled and two coins are tossed. Find the probability of the number on the cube being a 2 and both coins are heads.

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Question 79900: A number cube is rolled and two coins are tossed. Find the probability of the number on the cube being a 2 and both coins are heads.
Answer by doctor_who(15) (Show Source):
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Assuming the dice and coins to be fair (ie an equal probability of any outcome)
Then just multiply the probabilities together.
The chance of the cube rolling a 2 is one in 6
The chance of the first coin being heads is one in 2
The chance of the second coin also being heads is one in 2
So the probability of all three happening is one in 6 X 2 X 2 = one in 24.
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Alternatively, you can express the probabilities as decimals and get the same answer :
Probability of cube being 2 = 0.16666 (ie 1/6)
Probability of first coin = 0.5
Probability of second coin = 0.5
Probability of all three happening = 0.1666 X 0.5 X 0.5 = 0.041666 (which is 1/24)