Probability of compound events
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When rolling a fair six-sided die and flipping a fair coin, what is the probability of rolling either a or a
and getting heads on the coin flip?
CORRECT
Explanation
Recall what a probability is:
Start by finding the probability of rolling either or
on a die. Since there are a total of
different outcomes, and we only want these two, the probability must be
.
Next, find the probability of getting heads on a coin flip. Since we only want heads and there are only possible outcomes on a coin flip, the probability of getting heads is
.
Since the question wants the probability of both events occurring, you must multiply the probabilities together.
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