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Math To Do, I-Ready
om/student/dashboard/home
A coin has heads on one side and tails on the other. The coin is tossed 12 times and lands heads up 4 times. Which best describes what happens when the number of trials increases significantly?
The observed frequency of landing heads up will always be
(1)/(3) of the number of tosses.
The observed frequency of landing heads up gets closer to the expected frequency based on the probability of the coin landing heads up.
The expected frequency based on the probability of the coin landing heads up gets closer to 1.
My Progress

Math To Do, I-Ready $\newline$ om/student/dashboard/home $\newline$ A coin has heads on one side and tails on the other. The coin is tossed $12$ times and lands heads up $4$ times. Which best describes what happens when the number of trials increases significantly? $\newline$ The observed frequency of landing heads up will always be $\frac{1}{3}$ of the number of tosses. $\newline$ The observed frequency of landing heads up gets closer to the expected frequency based on the probability of the coin landing heads up. $\newline$ The expected frequency based on the probability of the coin landing heads up gets closer to $1$ . $\newline$ My Progress

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Add and subtract integers: word problems

Full solution

Q. Math To Do, I-Ready

\newline

om/student/dashboard/home

\newline

A coin has heads on one side and tails on the other. The coin is tossed

12

times and lands heads up

4

times. Which best describes what happens when the number of trials increases significantly?

\newline

The observed frequency of landing heads up will always be

\frac{1}{3}

of the number of tosses.

\newline

The observed frequency of landing heads up gets closer to the expected frequency based on the probability of the coin landing heads up.

\newline

The expected frequency based on the probability of the coin landing heads up gets closer to

1

.

\newline

My Progress

Problem Description: In the given problem, the coin is tossed $12$ times and lands heads up $4$ times. This is an observed frequency of heads for these $12$ trials.
Probability Calculation: The probability of a coin landing heads up is $\frac{1}{2}$ , since there are two sides to a coin and one of them is heads.
Law of Large Numbers: If the number of trials increases significantly, the Law of Large Numbers tells us that the observed frequency should get closer to the expected probability of $\frac{1}{2}$ , not remain at the observed $\frac{1}{3}$ or move towards $1$ .
Correct Statement: Therefore, the correct statement is: ＂The observed frequency of landing heads up gets closer to the expected frequency based on the probability of the coin landing heads up.＂

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