Suzan grabs five marbles at random from a bag containing four red marbles, three green ones,...
Suzan grabs five marbles at random from a bag containing four red marbles, three green ones, two white ones and one purple one. What are the probabilities of the following events expressing each as a fraction in the lowest term.
a. She has at least 2 green ones.
b. She does not have all the red ones.
Homework Answers
Ans:
There are 4 red marbles,3 green marbles,2 white marbles and 1 purple marble
We have to choose 5.
There are total possible 10C5 ways.
a)P(atleast 2 green)=1-P(0 green)-P(1 green)
=1-(7C5*3C0/10C5)-(3C1*7C4/10C5)
=1-(21/252)-(105/252)
=1-(126/252)
=1-(1/2)
=1/2
b)P(does not have all red)=1-P(all red)=1-(4C4*6C1)/10C5
=1-(6/252)
=246/252
=123/126
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