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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