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A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.
A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.
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Koala Tutor
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To find the probability of both events happening, we need to multiply the individual probabilities of each event.
The probability of rolling an odd number on a fair six-sided die is 3/6 or 1/2 (since there are 3 odd numbers out of 6 total numbers).
The probability of flipping a coin and getting a head is also 1/2 (since there are 2 equally likely outcomes - head or tail).
Therefore, the probability of rolling an odd number and flipping a head is:
(1/2) * (1/2) = 1/4
So, the probability that the die shows an odd number and the coin shows a head is 1/4.
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