The problem asks which of the given options does NOT have an equal chance of occurring. A) Choose a number at random from 1 to 7 B) Toss a coin C) Choose a letter at random from the word SCHOOL

Probability and StatisticsProbabilityRandomnessEqually Likely Outcomes
2025/3/24

1. Problem Description

The problem asks which of the given options does NOT have an equal chance of occurring.
A) Choose a number at random from 1 to 7
B) Toss a coin
C) Choose a letter at random from the word SCHOOL

2. Solution Steps

Let's analyze each option:
A) Choose a number at random from 1 to

7. The numbers are 1, 2, 3, 4, 5, 6,

7. There are 7 numbers in total. If the choice is truly random, each number has a probability of $\frac{1}{7}$ of being chosen. Therefore, each number has an equal chance.

B) Toss a coin.
A coin has two sides: heads and tails. If the coin is fair, the probability of getting heads is 12\frac{1}{2} and the probability of getting tails is 12\frac{1}{2}. Therefore, each side has an equal chance.
C) Choose a letter at random from the word SCHOOL.
The word SCHOOL has 6 letters: S, C, H, O, O, L.
The probability of choosing S is 16\frac{1}{6}.
The probability of choosing C is 16\frac{1}{6}.
The probability of choosing H is 16\frac{1}{6}.
The probability of choosing O is 26=13\frac{2}{6} = \frac{1}{3}.
The probability of choosing L is 16\frac{1}{6}.
Since the probability of choosing the letter O is 13\frac{1}{3}, which is different from the probability of choosing the other letters (which is 16\frac{1}{6}), the letters do NOT have an equal chance of being chosen.
Therefore, the answer is C.

3. Final Answer

C

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