Chapter 10.4, Problem 23E

To determine

Toexplain:

Red cards and even numbers are mutually exclusive.

Answer to Problem 23E

Red cards and even numbers are not mutually exclusive.

Explanation of Solution

Given information:

Total cards $=40$

Blue or Red card $=1$

Red cards drawn number $=31and19$

Blue cards drawn number $=22and7$

It is given that out of $40$ red or blue card in a bag, one card is drawn at random and placed back in the bag. This is done $4$ times. Out of the four draws, red cards were numbered $31$ and $19$ , blue cards were numbered $22$ and $7$ .

It is required to know whether red cards and even numbers are mutually exclusive.

It is only stated that $40$ cards in a bag consisted of red and blue colors. But it is not known how many of them were red and how many of them were blue.

Moreover, the numbers of red and blue colors are also not known. Without these pieces of information concluding remark is not justified.