Question #74ced

1 Answer
Oct 27, 2017

Let's look at the probabilities one by one.

Explanation:

Number smaller than 5:
This will be 2, 3 or 4. There are 12 of those in a deck:
#P(<5)=12/52=3/13#

A Jack:
There are 4 in a deck:
#P(J)=4/52=1/13#

Since this is an AND situation we MULTIPLY:
#P(<5andJ)=3/13xx1/13=3/169#

Note:
This if the order of drawing is important. If it doesn't matter, as long as we have a Jack from one deck and a lower-than-5 from the other, the probability doubles.