There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick two marbles out of the bag without replacing the first one. What is the probability of Jamie picking a white marble and then a blue marble?

Respuesta :

Answer:

The probability of Jamie picking a white marble and then a blue marble is 7/30 or 23%

Step-by-step explanation:

It is given that there are 3 white marbles and 7 blue marbles in a bag.

Total = 7 + 3 = 10 marbles.

When Jamie picks first marble there are 3 white marbles out of 10 marbles in the bag so the probability of Jamie picking a white marble would be = 3/10

Then he picks second marble without replacing the first marble, there are only 9 marbles left, so the probability of picking blue marble would be = 7/9

Therefore, [tex]\frac{3}{10}[/tex] × [tex]\frac{7}{9}[/tex]

= [tex]\frac{7}{30}[/tex] or 23%

The probability of Jamie picking a white marble and then a blue marble is 7/30 or 23%