148k views
2 votes
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
by
8.5k points

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
by
9.2k points

Related questions

asked Dec 10, 2024 216k views
Jon Egeland asked Dec 10, 2024
by Jon Egeland
8.3k points
2 answers
4 votes
216k views
asked May 13, 2024 73.3k views
Wbyoung asked May 13, 2024
by Wbyoung
8.1k points
1 answer
2 votes
73.3k views
asked Nov 8, 2024 207k views
Rlasch asked Nov 8, 2024
by Rlasch
7.7k points
1 answer
2 votes
207k views