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One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card is the red king.

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answer is B.

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Detailed Solution

Given, a card is drawn from a deck of 52 cards.
The P(A) of the random experiment as,

P (A) = \frac{Number of favorable outcomes}{Total number of outcomes}

The total number of outcomes in a deck of playing cards is 52.
The number of events getting cards of the red king is,

Since, there are 2 kings in red among 52 cards.
So, the probability of getting cards of the red king is,

P (E) = \frac{2}{52}

\Rightarrow P (E) = \frac{1}{26}

The probability of getting red king is

\frac{1}{26}

.
Hence, option 2 is the correct answer.

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