SOLUTION: You toss a coin and roll a die. The probability of having a head and a 6 on the die is ___________ _.

Algebra ->  Probability-and-statistics -> SOLUTION: You toss a coin and roll a die. The probability of having a head and a 6 on the die is ___________ _.      Log On


   

Question 1075127: You toss a coin and roll a die. The probability of having a head and a 6 on the die is _____________.
Answer by math_helper(2461) About Me  (Show Source):
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The coin toss has two equally likely outcomes, so P{head} = 1/2
The die has 6 equally likely outcomes, so P{6 tossed} = 1/6
Together, the probability of getting a head on the coin toss and a 6 on the die toss is the product of these two: P{6 tossed and head tossed } = (1/6)(1/2) = +highlight%281%2F12%29+
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This makes sense since there are 2*6 = 12 equally likely outcomes, and the problem simply asks for the probability of getting one specific outcome out of the 12.