Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability that Jerome will get a green or yellow marble on the first draw and a pink on the second draw?

Respuesta :

Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.

Event A - get a green or yellow marble
Event B - get a pink marble

Events A and B are independent because we draw a marble from a bag with 20 marbles in both cases.
[tex]P(A)= \frac{3+4}{3+4+5+8}= \frac{7}{20} \\P(B)= \frac{8}{3+4+5+8}= \frac{8}{20} = \frac{2}{5} [/tex]

Probability of combined events is 
[tex]P(A) \times P(B)=\frac{7}{20} \times \frac{2}{5} =\frac{7}{50}[/tex]

Answer:

7/50

Step-by-step explanation:

Q&A Education