Question 334582
A fair die is rolled and a card is chosen at random. What is the probability
that that the number on the die matches the number on the card?
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Let D=Die outcome
Let C=card outcome
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P(number on die matches card)
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  =\ \sum_{i=1}^6\Pr(D=i and C=i)]*[tex \LARGE \   =\ \sum_{i=1}^6\Pr(D=i)*Pr(C=i)]
=6*(1/6)*(4/52)=1/13