1) Consider three bags of marbles, A, B and C, with the following contents Bag A
ID: 3290590 • Letter: 1
Question
1) Consider three bags of marbles, A, B and C, with the following contents
Bag A
Bag B
Bag C
4 white marbles
2 white marbles
5 white marbles
3 red marbles
5 red marbles
2 red marbles
3 green marbles
3 green marbles
3 green marbles
c)A single marble is drawn from each of the three bags. What is the probability that all three of them are the same color?
a)A single marble is drawn from each of the three bags. What is the probability that none of them are red?
Bag A
Bag B
Bag C
4 white marbles
2 white marbles
5 white marbles
3 red marbles
5 red marbles
2 red marbles
3 green marbles
3 green marbles
3 green marbles
Explanation / Answer
c) probability that all three of them are the same color =first one white*second one white*third white+first one red*second one red*third red+first one green*second one green*third green
=(4/10)*(2/10)*(5/10)+(3/10)*(5/10)*(2/10)+(3/10)*(3/10)*(3/10)=97/1000=0.097
a) probability that none of them are red =first one not red*second one not red*third one not red
=(7/10)*(5/10)*(8/10)=280/1000=0.280
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