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?
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%
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%
