Question

PLEASE HELP ME! I ONLY HAVE A LIMITED TIME!!!

I am completing a color sheet for my math class. I have a set of markers with 2 purples, 1 black, 3 reds, 2 yellows, and 2 blues. What is the probability that I will randomly select a red marker, keep it, and then randomly select a yellow marker?
A. 47/90
B. 3/10
C. 1/15
D. 2/9

Answer 1

Option C.

Explanation:

Number of purple markers = 2

Number of black marker = 1

Number of red markers = 3

Number of yellow markers = 2

Number of blue markers = 2

Total number of markers = 10

Probability to select randomly a red marker =
`\frac{\text{Number of red markers}}{\text{Total number of markers}}`

=
`P(red)=(3)/(10)`

Now we keep with us and randomly select a marker again.

So remaining markers with us = (10 - 1) = 9

Probability of the randomly selected marker to be yellow P(yellow)

=
`\frac{\text{Number of yellow markers}}{\text{Number of remaining markers}}`

=
`(2)/(9)`

Probability of both the events (selecting red AND yellow) = P(red) × P(yellow)

=
`(3)/(10)* (2)/(9)`

=
`(6)/(90)`

=
`(1)/(15)`

Therefore,Option (C) will be the answer.