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.

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): You can put this solution on YOUR website!
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)

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