Question

A box contains 7 plain pencils and 3 pens. A second box contains 3 color pencils and 3 crayons

One item from each box is chosen at random. What is the probability that a pen from the first
box and a crayon from the second box are selected?
Write your answer as a fraction in simplest form.
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Answer 1

His is the answer to your question

Answer 2

`(3)/(20)`

Explanation:

Box 1:

Number of pens = 3

Total number of items = pencils + pens = 7 + 3 = 10

Probability that a pen will be picked, P(Pen) =
`(3)/(10)`

Box 2:

Number of crayons = 3

Total number of items = color pencils + crayons = 3 + 3 = 6

Probability that a crayon will be picked, P(Crayon) =
`(3)/(6)`

P(pen from 1st box and crayon from 2nd box),

= P(Pen) x P(Crayon)

=
`(3)/(10)` x
`(3)/(6)`

=
`(3)/(20)`