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10 votes
10 votes
You and a friend have each randomly draw a card.

You and a friend have each randomly draw a card.-example-1
User Shreyas Karnik
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1 Answer

6 votes
6 votes

There are 52 cards in a deck.

There are 12 face cards in the deck, that is 3 face cards per suit.

The probability of getting at least from two draws is given to be:


P=P(X=1)+P(X=2)

Therefore, the probability is calculated using the formula:


P=(^(12)C_1*^(40)C_1)/(^(52)C_2)+(^(12)C_2)/(^(52)C_2)

Using the combination formula, we have the solution to be:


\begin{gathered} \Rightarrow(12*40)/(1326)+(66)/(1326)=(480)/(1326)+(66)/(1326) \\ P=(546)/(1326) \\ P=(7)/(17) \end{gathered}

The LAST OPTION is correct.

User Dc Redwing
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