Elizabeth is going to flip a fair coin 100 times. What is the best prediction for the number of times that the coin will land tails up? Choose 1 answer: (A) Exactly 200 times (B) Close to 200 times but probably not exactly 200 times (C) Exactly 50 times (D) Close to 50 times but probably not exactly 50 times

Understand Coin Flip Probability: Understand the probability of a single coin flip. A fair coin has two sides, heads and tails, each with an equal chance of landing face up. Therefore, the probability of getting tails on a single flip is 1/2.Calculate Expected Tails: Calculate the expected number of tails in 100 flips. Since the probability of getting tails on a single flip is 1/2, we can predict the expected number of tails in 100 flips by multiplying the probability by the number of flips. Expected number of tails = Probability of tails × Number of flips Expected number of tails = 1/2 × 100 Expected number of tails = 50Interpret Results: Interpret the results and choose the best answer. The calculation shows that the expected number of tails is 50. However, while flipping a coin 100 times, it is unlikely to get exactly 50 tails due to the variability inherent in random events. Therefore, the best prediction would be close to 50 times but probably not exactly 50 times.

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Elizabeth is going to flip a fair coin $100$ times. $\newline$ What is the best prediction for the number of times that the coin will land tails up? $\newline$ Choose $1$ answer: $\newline$ (A) Exactly $200$ times $\newline$ (B) Close to $200$ times but probably not exactly $200$ times $\newline$ (C) Exactly $50$ times $\newline$ (D) Close to $50$ times but probably not exactly $50$ times

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Q. Elizabeth is going to flip a fair coin

100

times.

\newline

What is the best prediction for the number of times that the coin will land tails up?

\newline

Choose

1

answer:

\newline

(A) Exactly

200

times

\newline

(B) Close to

200

times but probably not exactly

200

times

\newline

50

times

\newline

(D) Close to

50

times but probably not exactly

50

times

Understand Coin Flip Probability: Understand the probability of a single coin flip. A fair coin has two sides, heads and tails, each with an equal chance of landing face up. Therefore, the probability of getting tails on a single flip is $\frac{1}{2}$ .
Calculate Expected Tails: Calculate the expected number of tails in $100$ flips. $\newline$ Since the probability of getting tails on a single flip is $\frac{1}{2}$ , we can predict the expected number of tails in $100$ flips by multiplying the probability by the number of flips. $\newline$ Expected number of tails $=$ Probability of tails $\times$ Number of flips $\newline$ Expected number of tails $= \frac{1}{2} \times 100$ $\newline$ Expected number of tails $= 50$
Interpret Results: Interpret the results and choose the best answer. $\newline$ The calculation shows that the expected number of tails is $50$ . However, while flipping a coin $100$ times, it is unlikely to get exactly $50$ tails due to the variability inherent in random events. Therefore, the best prediction would be close to $50$ times but probably not exactly $50$ times.