SOLUTION: three cards are drawn at random succesivelyt with replacement from a well shuffled pack of cards getting a card of diamonds is termed as sucess what is the sum of probabilites of w

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Question 875492: three cards are drawn at random succesivelyt with replacement from a well shuffled pack of cards getting a card of diamonds is termed as sucess what is the sum of probabilites of which ranndom variable x will be x>=2?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
p(diamond) = 13/52 = 1/4, n = 3
P(x>=2) = P(x=2) + P(x=3) =+3C2%28.25%29%5E2%28.75%29%5E1+%2B+%28.25%29%5E3+= .1563
Using P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+
p and q are the probabilities of success and failure respectively.
In this case p= .25 and q = .75 and n = 3
nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29