Question

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

Answer 1

Answer: Probability = 44%

Step-by-step explanation:

To find the probability of finding 2 black balls in a row, we first need to find the probability of finding 1 black ball at a time.

To do that, we need to divide the amount of total black balls by the number of total balls.

Black balls = 6

Total balls = 3 + 6 = 9

6 divided by 9 = 0.(6)

If you multiply 0,(6) by 100%, it will give you 66% (rounded) of getting a black ball.

Now, to find the chances of getting 2 black balls in a row, we need to multiply $\frac{6}{9}$ by $\frac{6}{9}$. What we are doing is squaring the chances of getting one black ball, by the number of times we want to get it.

That is equal to 0,(4)

Multiply 0,(4) by 100%, and it will give you 44%(rounded) chances to get a black ball 2 times in a row.

Probability = 44%

Hope I Helped!