1. \"Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs
ID: 3066597 • Letter: 1
Question
1. "Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, threewhite ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]
She does not have all the green ones."
2. "Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, three green ones, fourwhite 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. HINT [See Example 1.]
She does not have all the red ones."
Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, three white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She does not have all the green ones.Explanation / Answer
Solution:-
1) The probability of not grabing all the green marbles is 0.9021.
Total number of marbles = 4 + 4 + 3 + 2 = 13
Number of green marbles = 4
The chances of grabbing all the green marbles = 4C4 × 9C4 = 126
The different ways of grabbing 8 marbles = 13C8 = 1287
The probability of grabbing all the green marbles = 126/1287 = 0.09790
The probability of not grabing all the green marbles = 1 - probability of grabbing all the green marbles
The probability of not grabing all the green marbles = 1 - 0.09790
The probability of not grabing all the green marbles = 0.9021
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