There are two decks of cards. Each deck has a red, a yellow, a blue, and a green card in it. If a card is drawn, from the first deck, and then a second card drawn from the second deck, what is the probability that a red card or green card are drawn (not necessarily in that order) ?

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Mathematics

11 February, 12:43

There are two decks of cards. Each deck has a red, a yellow, a blue, and a green card in it. If a card is drawn, from the first deck, and then a second card drawn from the second deck, what is the probability that a red card or green card are drawn (not necessarily in that order) ?

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Samara Holder · Answer 1

Probability of choosing Red first is 1/4

Probability of choosing Green second is 1/4 (this coming from the second deck)

The probability of choosing in this order is 1/4 * 1/4 = 1/16

Probability of choosing Green first is 1/4

Probability of choosing Red second is 1/4

The probability of choosing in this order is 1/4*1/4 = 1/16

The total probability of success is 1/16 + 1/16 = 2/16 = 1/8