Question

Which of the following experiments does not have equally likely outcomes?

• A. Choosing a number at random from 1 to 7.
• B. Tossing a coin.
• C. Choosing a letter at random from the word LIVER.
• D. Choosing a letter at random from the word SCHOOL.

Answer 1

The correct option is D Choosing a letter at random from the word SCHOOL.

(a) In the sample space of 1 to 7, no number is repeated. So each number has an equal chance of being picked. Hence, an equally likely outcome.
(b) Tossing a coin can only have two outcomes, either a heads or a tails. Both can occur equally likely.
(c) In the word LIVER, no alphabet is repeated. Picking any alphabet is a random outcome as each of them have an equal chance of being picked. Hence, an equally likely outcome.
(d) In the word SCHOOL, the letter 'O' is repeated twice. Hence it has a greater chance of being picked than the other letters. Hence, it is not a case of an equally likely outcome.