SOLUTION: A coin is tossed 5 times. Calculate the following probabilities: a) Head appears on the 1st toss. b) Head appears on both the first and second tosses. c) Head appears once durin

Algebra ->  Probability-and-statistics -> SOLUTION: A coin is tossed 5 times. Calculate the following probabilities: a) Head appears on the 1st toss. b) Head appears on both the first and second tosses. c) Head appears once durin      Log On


   



Question 394954: A coin is tossed 5 times. Calculate the following probabilities:
a) Head appears on the 1st toss.
b) Head appears on both the first and second tosses.
c) Head appears once during the 5 tosses.
d) Head appears more than twice during the 5 toss.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A coin is tossed 5 times. Calculate the following probabilities:
a) Head appears on the 1st toss:: 1/2
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b) Head appears on both the first and second tosses:: (1/2)^2 = 1/4
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c) Head appears once during the 5 tosses:: 5C1(1/2)^5 = 5/32
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d) Head appears more than twice during the 5 toss::
5C3(1/2)^5 + 5C4(1/2)^5 + 5C5(1/2)^5
= (10+5+1]/32
= 1/2
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Cheers,
Stan H.