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You have 7 different colored cards. 3 of those cards are red, 2 of those cards are yellow, and 2 of those cards are black. what is the probability of drawing 2 red cards without replacing the first card?

Respuesta :

The proabbility of drawing 2 red cards without replacing the first card is 1/7.

According to the given question.

Total number of cards = 7

Total number of red cards = 3

Total number of yellow cards = 2

Total number of black cards = 2

Now,

The probability of drawing first red card = 3/7

And,

The probability of drawing second red card without repalcing the first card

= 3-1/(7-1)

= 2/6

= 1/3

Therefore, the probability of drawing 2 red cards without replacing the first card

= 3/7 × 1/3

= 1/7

Hence, the proabbility of drawing 2 red cards without replacing the first card is 1/7.

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