Question

Which of the following experiments have not equally likely outcomes? Explain
$\left(i\right)$ A trial is made to answer a true-false question. The answer is right or wrong.
$\left(ii\right)$ A baby is born. It is a boy or girl.
$\left(iii\right)$ Kushagra appears in an interview. He is selected or not selected.
$\left(iv\right)$ A die is thrown. It turns to be an even or an odd number.

• A. $\left(i\right)$
• B. $\left(ii\right)$
• C. $\left(iii\right)$
• D. $\left(iv\right)$

Answer 1

Answer: (C)

$\left(iii\right)$

We have to identify the experiments that does not have eqially likely outcomes.

$\left(i\right)$ A trial is made to answer a true-false question. The answer is right or wrong.

This experiment has equally likely outcomes.

Because answer is either true or false and any person would answer either true or false.

The probability of giving right answer is $0.5$ and also, the probability of giving wrong answer is $0.5$.

$\left(ii\right)$ A baby is born. It is a boy or girl.

It has equally likely outcomes.

The probability that baby is going to be boy is $0.5$ and the probability that baby is going to be girl is also $0.5$.

$\left(iii\right)$ Kushagra appears in an interview. He is selected or not selected.

This experiment does not have equally likely outcomes. The probability of outcomes depends on the skills of Kushagra.

$\left(iv\right)$ A die is thrown. It turns to be an even or an odd number.

It has equally likely outcomes.

The probability that the die turns to be even is $0.5$ and the probability that the die turns to be even is also $0.5$.

Therefore $\left(iii\right)$ is the only experiment that does not have equally likely outcomes.