A drawer contains 3 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that they both are black?

Guest Jun 4, 2021

#1**+1 **

*A drawer contains 3 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that they both are black?*

First ball drawn, there's a 6/9 probability that it will be black. (6 black balls, 9 total balls)

If the first ball was black, it leaves 5 black balls in the drawer.

Now the probability that a black one is drawn is 5/8. (5 black balls, 8 total balls)

The probability of both things happening, multiply the two probabilities together.

6/9 x 5/8 = 30/72 This reduces to **5/12** __or in decimal form__ **41.67%**

Guest Jun 4, 2021

#1**+1 **

Best Answer

*A drawer contains 3 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that they both are black?*

First ball drawn, there's a 6/9 probability that it will be black. (6 black balls, 9 total balls)

If the first ball was black, it leaves 5 black balls in the drawer.

Now the probability that a black one is drawn is 5/8. (5 black balls, 8 total balls)

The probability of both things happening, multiply the two probabilities together.

6/9 x 5/8 = 30/72 This reduces to **5/12** __or in decimal form__ **41.67%**

Guest Jun 4, 2021