Question

50 points if someone gets it right.

A bag has 3 red scraps, 1 blue scrap, 1 yellow scrap, and 2 purple scraps. You randomly pull a scrap from the bag, keep it out, and then pull out another.

What is the probability of getting a purple and then a purple. Write your answer as a fraction.

Answer 1

1/21

Explanation:

The probability of getting a purple is 2/7, but if we try to pick another purple, then the probability becomes 2/7*1/6 = 2/42 = 1/21

Answer 2

Answer: 1/21

Explanation:

The probability of getting a purple the first time

P(Purple) = 2/7 > 2 purples and 7 total

Probability of purple the second time, you keep the first purple out.

P(Purple) = 1/6 >You took out a purple so you have 1 left out of 6

Probability of a purple and then purple again is dependent on you getting a purple the first time so you multiply the probabilities

P(purple AND purple) = (2/7)(1/6)

P(purple AND purple) = 2/42 >reduce

P(purple and purple) = 1/21