Answer :
Answer:
Step-by-step explanation:
Given that cards are drawn from a standard 52-card deck until the third club is drawn.
With replacement:
Drawing 3 club prob = 1/52 and non club = 51/52
a) Hence Prob (3rd club is drawn on the 8th selection)
= P(7 non 3 clubs, and one 3 club)
= [tex](\frac{51}{52} )^7 (\frac{1}{52})[/tex]
b) P(first 7 cards non 3 club) = [tex](\frac{51}{52} )^7[/tex]
With replacement
c) P(7 non 3 clubs and 8th 3club)
= [tex]\frac{51C7 }{52C8}[/tex]
d) P(atleast first 7 cards non3 club) =1-P(3 club in the 7th draws )=[tex]1-\frac{51C7 }{52(52C8)}[/tex]