Question

50 POINTS! PLEASE HELP TT

A bag contains 1 red marble, 2 blue marbles, 3 yellow marbles, and 4 black marbles. A marble is randomly chosen from the bag, returned, and then another marble is chosen. What is the probablility that both marbles are blue?

Answer 1

`\sf \: Probability _((Blue))=2/10×2/10 \\ \\ \sf Probability _((Blue))= (1)/(25)`

Answer 2

• The probability that both marbles are blue is 1/25

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Number of marbles:

• Red = 1, blue = 2, yellow = 3, black = 4

Total number:

• 1 + 2 + 3 + 4 = 10

Probability of getting a blue marble:

• P(blue) = number of blue / total number
• P(blue) = 2/10 = 1/5

Since the second marble is selected with replacement, the probability of the second blue marble is same, so the probability of two blue marbles is:

• P(blue, blue) = 1/5*1/5 = 1/25