two cards are pulled at random from a deck of 100 cards labeled from 1 to 100. what is the probability that one of the pulled cards is double the value of the other?

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10-11-2022
Mathematics

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two cards are pulled at random from a deck of 100 cards labeled from 1 to 100. what is the probability that one of the pulled cards is double the value of the other?

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Qwdeer Qwdeer · Answer 1 · 2022-11-15T08:46:03-05:00

The probability that one of the pulled cards is double the value of the other is 0.0101.

Consider the possibility of the first card being double or the second card being doubled. There are 50 possible combinations if the first card is doubled. When the first card is double, the second card has a 1/99 chance of being the half-card

The probability of the first card being doubled is as follows:

= 50 × 1/100 × 1/99

So the probability of drawing two cards, where one is double the other, is:

= 2 × 1/2 × 1/99 or 0.0101

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