MATH SOLVE

7 months ago

Q:
# A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than 1/5? Check all that apply.choosing 1 blue marblechoosing 1 red marblechoosing 1 red marble, not replacing it, and then choosing a blue marblechoosing 1 white marble, replacing it, and choosing another white marblechoosing 1 white marble

Accepted Solution

A:

Answer:choosing 1 red marble
; choosing 1 white marble, replacing it, and choosing another white marble
; and choosing 1 white marbleStep-by-step explanation:There are 2+3+5 = 10 marbles. The probability of choosing 1 blue marble is 2/10 = 1/5; this is not greater than 1/5.The probability of choosing 1 red marble is 3/10; this is greater than 2/10, which is the same as 1/5.The probability of choosing 1 red marble is 3/10; not replacing it and choosing a blue marble would then be a probability of 2/9. Together this is a probability of 3/10(2/9) = 6/90 = 3/45; this is smaller than 9/45, which is the same as 1/5.The probability of choosing 1 white marble is 5/10 = 1/2; replacing it and choosing another white marble would be 1/2. Together this is a probability of 1/2(1/2) = 1/4; this is greater than 4/20, which is the same as 1/5.The probability of choosing 1 white marble is 5/10 = 1/2. This is greater than 2/10, which is the same as 1/5.