Question

There are 4 green balls, 3 purple balls, 2 orange balls, and 1 white ball in a box. One ball is randomly drawn and replaced, and then another ball is drawn.What is the probability of getting a green ball than an orange ball?

Answer 1

Answer:

2/25

Step-by-step explanation:

Number of green balls, n(G) = 4

Number of purple balls, n(P) = 3

Number of orange balls, n(O) = 2

Number of white balls, n(W) = 1

Total number of balls, n(Total) = 4 + 3 + 2 + 1

n(Total) = 10

Probability of getting a green ball when the first ball was drawn

P(G) = 4/10 = 2/5

The green ball is replaced, so the total number of balls did not change

Probability of getting an orange ball the second time, P(O) = 2/10 = 1/5

Probability of getting a green ball then an orange ball

P(G then O) = 2/5 x 1/5

P(G then O) = 2/25