Question

Mrs. Moore's class is conducting an experiment to find the probability of pulling certain colors from a bag of 25 marbles. If 6 are purple, 5 are yellow, 3 are green, and the rest are black, what is the probability of drawing 2 black if the marbles are not replaced after they are picked? Show answer as a percent rounded to nearest hundredth, if necessary.
A. 17.6%
B. 18.33%
C. 19.36%
D. 20.17%

Answer 1

Possible outcomes
1. 2 purple
2. 2 yellow
3. 2 green
4. 2 black
5. 1 p, 1 y
6. 1 p, 1 g
7. 1 p, 1 b
8. 1 y, 1 g
9. 1 y, 1 b
10. 1 g, 1 b

Answer 2

@Michele_Laino

Answer 3

we have:
25-(6+5+3)=11 black marbles
so at first draw, the probability to get a black marble is:
favorable outcomes/ possible outcomes= 11/25
such probability at the second draw, is:
favorable outcomes/ possible outcomes= 10/24
since after the first draw, we have remained with 10 black marbles and 24 marbles in total
Now the requested probability is given by the product of such probabilities

Answer 4

But how do I get the %