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You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a two each time.

Solution

Solution

\frac{1}{169}

Solution steps

The possible outcomes when two cards are drawn are

52 \cdot 52

Therefore, the number of possible outcomes:

5 2^{2}

Find the number of favorable outcomes of drawing a 2 each time:

16

Probability

= \frac{number of favorable outcomes}{total number of outcomes}

= \frac{16}{5 2 ^{2}}

\frac{16}{5 2 ^{2}} = \frac{1}{169}

= \frac{1}{169}

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You draw one card from a​ 52-card deck. Then the card is replaced in the deck and the deck is​ shuffled, and you draw again. Find the probability of drawing a two each time.

Solution

Solution

Popular Examples

You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a two each time.