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If Jesse flips a coin seven times in a row, what is the probability that the result will be heads at least five times?

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by AAPL » Sat Aug 05, 2023 7:33 am
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If Jesse flips a coin seven times in a row, what is the probability that the result will be heads at least five times?

A. \(21/128\)
B. \(29/128\)
C. \(35/128\)
D. \(1/16\)
E. \(1/4\)

OA B
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Re: If Jesse flips a coin seven times in a row, what is the probability that the result will be heads at least five time

by swerve » Sun Aug 13, 2023 9:19 am
AAPL wrote: ↑
Sat Aug 05, 2023 7:33 am
 Veritas Prep

If Jesse flips a coin seven times in a row, what is the probability that the result will be heads at least five times?

A. \(21/128\)
B. \(29/128\)
C. \(35/128\)
D. \(1/16\)
E. \(1/4\)

OA B
Probability to get at least \(5\) heads in \(7\) flips.

The total outcome of flip is \(= 2^7 = 128\)
For any Coins problem write the ask in the shown format.

\(HHHHHTT\)
\(HHHHHHT\)
\(HHHHHHH\)

Once you have written in the above mentioned format the answer is pretty straight.

\(HHHHHTT = \dfrac{7!}{5! \cdot 2!} = 21\)

\(HHHHHHT = \dfrac{7!}{6!} = 7\)

\(HHHHHHH = \dfrac{7!}{7!} = 1\)

Sum \(= 21+7+1 = 29/128\)

Therefore, B
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