Question

Which of the following experiments does not have equally likely outcomes?
A.Choose a number at random from 1 to 7
B.Toss a coin
C.Choose a letter at random from the word SCHOOL
D.None of the above

Answer 1

Hint: We are asked to find which of the given events do not have equally like outcomes
Equally like outcomes means each outcome should have an equal probability of it being turned up.

Complete step-by-step answer:
Check all the given options.
In (a)
The probability of choosing a number is $\dfrac{1}{7}$
The probability is the same when we choose any number between 1 and 7
So it has equally like outcomes
Now in (b)
The possible outcomes is two either head or tail
So the probability is $\dfrac{1}{2}$
So it has equally like outcomes
In option (c )
In SCHOOL there are two O ‘s.
Hence it has twice the chances of being chosen than the other letters
So the event of choosing a letter at random from the word SCHOOL does not have equally likely `outcomes
The correct option is C.

Note: If outcomes are equally likely, then the probability of an event occurring is the number in the event divided by the number in the sample space. The probability of rolling a six on a single roll of a die is $\dfrac{1}{6}$ because there is only 1 way to roll a six out of 6 ways it could be rolled. In the given events we can see that the event of choosing a number at random from 1 to 7 has equally likely outcomes and the same way the event of tossing the coin also has equally likely outcomes. But in the event of choosing a letter from the word SCHOOL , the probability of choosing O is twice the probability of choosing other letters as there are two O’s in the word SCHOOL.