Marc commutes to work on his bicycle, which has tires that measure 26 inches in diameter. A device on his bike informs him that
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Answer:
The probability that the coins are thrown more than three times to show the same face is 0.3164.
Step-by-step explanation:
The problem is related to Geometric distribution.
The Geometric distribution defines the probability distribution of <em>X</em> failures before the first success.
The probability distribution function is:
First compute the probability that in the throw all the three coins will show the same face.
P (All the 3 coins shows the same face) = P (All the three coins shows Heads) + P (All the three coins shows Tails)
Now compute the probability that it takes more than 3 throws for the coins to show the same face.
P (<em>X</em> > 3) = 1 - P (<em>X</em> ≤ 3)
Thus, the probability that it takes more than 3 throws for the coins to show the same face is 0.3164.