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If you flip a coin $2$ times, what is the best prediction possible for the number of times it will land on tails? $\newline$ Choices: $\newline$ (A) $5$ $\newline$ (B) $1$ $\newline$ (C) $0$ $\newline$ (D) $4$

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Make predictions

Full solution

Q. If you flip a coin

2

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

\newline

Choices:

\newline

(A)

5

\newline

(B)

1

\newline

(C)

0

\newline

(D)

4

Understand the problem: Step $1$ : Understand the problem. We need to predict how many times a coin will land on tails after $2$ flips. Each flip has two possible outcomes: heads or tails.
Calculate probabilities: Step $2$ : Calculate the probability of each outcome. Since the coin is fair, the probability of landing on tails in one flip is $\frac{1}{2}$ . For two flips, the possible outcomes are TT, TH, HT, HH.
Count outcomes with tails: Step $3$ : Count the outcomes where tails appear. $TT$ has $2$ tails, $TH$ has $1$ tail, $HT$ has $1$ tail, and $HH$ has $0$ tails.
Determine most frequent outcome: Step $4$ : Determine the most frequent outcome. The outcomes with tails are $TT$ ( $1$ way), $TH$ ( $1$ way), $HT$ ( $1$ way). The most frequent number of tails in these outcomes is $1$ (appearing in $TH$ and $HT$ ).

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