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 a

Question

3 years ago

13

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 a

pply.
choosing 1 blue marble
choosing 1 red marble
choosing 1 red marble, not replacing it, and then choosing a blue marble
choosing 1 white marble, replacing it, and choosing another white marble
choosing 1 white marble

Mathematics

2 answers:

My name is Ann [436] · Answer 1 · 2022-04-10T14:31:25+03:00

My name is Ann [436]3 years ago

3 0

The third choice will be correct

DaniilM [7] · Answer 2 · 2022-04-10T16:34:43+03:00

Answer:

choosing 1 red marble ; choosing 1 white marble, replacing it, and choosing another white marble ; and choosing 1 white marble

Step-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.