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Two cards are randomly drawn. (5 blue cards and 3 yellow cards) What is the probability of drawing two blue cards if the fist card is not included in the second draw? simlify your answer completely

User Umutesen
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1 Answer

4 votes

Answer:

5/14

Explanation:

The probability of drawing a particular coloured card is the number of cards that are that colour, divided by the total number of cards:

The probability of drawing a blue card on your first draw would be 5 out of (5 + 3) = 5/8

The next draw would be the same principle, but the denominator (bottom number of the fraction) would be 1 less, because you have just taken out 1 card on your first draw:

The probability of drawing a blue card on your second draw (after drawing a blue card first) would be 4 (since you have already taken one) out of (8 - 1) = 4 / 7

To find the probability of both these steps combined, you multiply the two fractions together:

5/8 x 4/7 = 20/56

The question asks you to simplify, which means that the final answer is 5/14

Hope this helps!

User Herbrandson
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