Recall from Example 1 that whenever Suzan sees a bag of marb

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing two red marbles, four green ones, three white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.

She does not have all the red ones.

Solution

Total number of marbles are 2+4+3+1=10

She grabs 8 marble in 10C8 ways=45

8 mables containing no red is 8C6 =28

Containing at least one red is 45-28=17

Probability is 17/45=0.3777