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If you flip a coin $12$ times, what is the best prediction possible for the number of times it will land on tails? $\newline$ Choices: $\newline$ (A) $11$ $\newline$ (B) $1$ $\newline$ (C) $3$ $\newline$ (D) $6$

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Make predictions

Full solution

Q. If you flip a coin

12

times, what is the best prediction possible for the number of times it will land on tails?

\newline

Choices:

\newline

(A)

11

\newline

(B)

1

\newline

(C)

3

\newline

(D)

6

Understand the problem: Understand the problem. We need to predict how many times a coin will land on tails after $12$ flips. Since a coin flip has two possible outcomes (heads or tails), each outcome has an equal probability of occurring, which is $\frac{1}{2}$ .
Calculate expected number: Calculate the expected number of tails. The expected number of tails can be calculated by multiplying the total number of flips by the probability of landing on tails. $\newline$ Expected number of tails = Total flips $\times$ Probability of tails = $12 \times \frac{1}{2} = 6$ .
Choose best prediction: Choose the best prediction from the given choices. The calculation shows that the expected number of tails is $6$ , which matches one of the choices provided.

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