Question

There are 5 marbles in a bag. 3 are green, and 2 are yellow. You draw a marble, do not replace it, and then draw another. What is the probability of choosing green both times?

Answer 1

3/10 is the probability of getting green on the first selection since there are 3 green and 5+3+2 = 10 total.

Because the first marble is not replaced, this means there are 2 green left out of 9 overall. The probability of getting green again is 2/9

Multiply the two fractions mentioned:

(3/10)*(2/9) = (3*2)/(10*9) = 6/90 = 1/15

The probability of choosing green two times is 1/15 if you do not replace the first marble.

Using a calculator, 1/15 = 0.0667 approximately, which converts to 6.67% after moving the decimal point 2 spots to the right.

Answer as a fraction:  1/15

Answer in decimal form: 0.0667

Answer in percent form: 6.67%