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There are 7 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer. Once a ribbon is selected, it is not replaced. Find each probability.

P(a yellow ribbon and then a blue ribbon)


P(a yellow ribbon and then a blue ribbon)


a. 7/100
b. 42/635
c. 7/120
d. 7/125

User Oodavid
by
7.4k points

2 Answers

4 votes

Answer:

A:
(7)/(100)

Explanation:

There are 25 ribbons total. The probability would be out of the 25 ribbons.

(1):

Yellow:
(7)/(25)

Blue:
(6)/(25)

Red:
(9)/(25\\)

Green:
(3)/(25)

When removing a ribbon that can't be replace, it'll leave you with a total of 24 ribbons.

(2):

Yellow:
(6)/(24)=(1)/(4)

Blue:
(5)/(24)

Red:
(8)/(24)=(1)/(3)

Green:
(2)/(24)=(1)/(12)

Multiply {(1) × (2)}:

Yellow:
(7)/(25) ×
(6)/(24) =
(7)/(100)

Blue:
(6)/(25) ×
(5)/(24) =
(1)/(20)

User Zetafish
by
7.4k points
3 votes

Answer:

7/100

Explanation:

7 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer

Total ribbons = 25 ribbons

P( yellow) = yellow / total = 7/25

Then not replaced

6 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer

Total ribbons = 24 ribbons

P( blue) = blue / total = 6/24 = 1/4

P(a yellow ribbon and then a blue ribbon) = 7/25 * 1/4 =7/100

User Berliner
by
6.8k points