SOLUTION: six cions are flipped simultaneously. What is the probability that there are: A.) At least 5 heads? B.) At least 3 tails? C.) No heads? D.) At most 2 tails?

Algebra ->  Probability-and-statistics -> SOLUTION: six cions are flipped simultaneously. What is the probability that there are: A.) At least 5 heads? B.) At least 3 tails? C.) No heads? D.) At most 2 tails?      Log On


   

Question 1014639: six cions are flipped simultaneously. What is the probability that there are:
A.) At least 5 heads?
B.) At least 3 tails?
C.) No heads?
D.) At most 2 tails?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For n number of heads,
P%28n%29=C%286%2Cn%29%2A%281%2F2%29%5En%2A%281%2F2%29%5E%286-n%29
P%28n%29=C%286%2Cn%29%2A%281%2F2%29%5E%286%29
P%28n%29=C%286%2Cn%29%2F64
a) At leas6t 5 heads is the sum of 5 and 6 heads,
P=P%285%29%2BP%286%29=C%286%2C5%29%2F64%2BC%286%2C6%29%2F64=%286%2B1%29%2F64=7%2F64
b) At least 3 heads is the sum of 3,4,5 and 6 heads,

c) P%280%29=1%2F64
d) At most 2 tails is (0,1,2) tails or (6,5,4) heads,
P=P%284%29%2BP%285%29%2BP%286%29=%2815%2B7%29%2F64=22%2F64=11%2F32