Question

An urn contains 25 marbles. 15 are red, 8 are orange, and 2 are blue. you select two marbles. what is the probability of getting a red marble on the first draw and an orange marble on the second draw if you select

Answer 1

The total number of marbles in the urn = 25 marbles

Number of red marbles in the urn = 15 marbles

The probability of picking the first one as red = Number of red marbles/ total number of marbles =  15/25 = 3/5

Now, for the second draw, number of marbles = 24 (Since you already picked one)

Total number of orange marbles = 8

The probability of picking the second one as orange = Number of orange marbles/ total number of marbles = 8/24 = 1/3

Probability of picking a red in the first draw and an orange in the next draw =3/5*1/3  = 1/5

Probability of picking a red in the first draw and an orange in the second draw  = 1/5