SOLUTION: The probability of getting 8 heads in 19 coin flips is less than the probability of getting 7 tails in 18 coin flips. True or False?

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Question 1082430: The probability of getting 8 heads in 19 coin flips is less than the probability of getting 7 tails in 18 coin flips.
True or False?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%288%2C19%29=C%2819%2C8%29%280.5%29%5E19
P%287%2C18%29=C%2818%2C7%29%280.5%29%5E18
.
.
.
C%2819%2C8%29=75582
C%2818%2C7%29=31824
and
C%2819%2C8%29%2A%280.5%29=37791
So,
C%2819%2C8%29%2A%280.5%29%3EC%2818%2C7%29
and
P%288%2C19%29%3EP%2818%2C7%29