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Ramkin is going to flip a fair coin 1200 times.
What is the best prediction for the number of times that the coin will land heads up?
Choose 1 answer:
(A) Exactly 50 times
(B) Close to 50 times but probably not exactly 50 times
(C) Exactly 600 times
(D) Close to 600 times but probably not exactly 600 times

Ramkin is going to flip a fair coin $1200$ times. $\newline$ What is the best prediction for the number of times that the coin will land heads up? $\newline$ Choose $1$ answer: $\newline$ (A) Exactly $50$ times $\newline$ (B) Close to $50$ times but probably not exactly $50$ times $\newline$ (C) Exactly $600$ times $\newline$ (D) Close to $600$ times but probably not exactly $600$ times

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Make predictions

Full solution

Q. Ramkin is going to flip a fair coin

1200

times.

\newline

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

\newline

Choose

1

answer:

\newline

(A) Exactly

50

times

\newline

(B) Close to

50

times but probably not exactly

50

times

\newline

(C) Exactly

600

times

\newline

(D) Close to

600

times but probably not exactly

600

times

Understand Coin Flip Probability: Understand the probability of a single coin flip. $\newline$ A fair coin has two sides, heads and tails, and each side has an equal chance of landing face up. Therefore, the probability of getting heads in a single coin flip is $\frac{1}{2}$ .
Calculate Expected Number: Calculate the expected number of heads in $1200$ coin flips. $\newline$ To find the expected number of heads, multiply the total number of flips by the probability of getting heads on a single flip. $\newline$ Expected number of heads $=$ Total number of flips $\times$ Probability of heads $\newline$ Expected number of heads $= 1200 \times \frac{1}{2}$
Perform Calculation: Perform the calculation from Step $2$ . $\newline$ Expected number of heads = $1200 \times \frac{1}{2} = 600$
Interpret Result: Interpret the result. $\newline$ The calculation shows that the expected number of times the coin will land heads up is $600$ . However, while $600$ is the expected value, it is unlikely to be exactly $600$ due to the variability inherent in random events. The actual number will probably be close to $600$ , but not exactly $600$ .

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