Question

Which of the following experiments have equally likely outcomes? Explain.
(i) A driver attempts to start a car. The car starts or does not start.
(ii) A player attempts to shoot a basketball. She/he shoots or misses the shot.
(iii) A trial is made to answer a true-false question. The answer is right or wrong.
(iv) A baby is born. It is a boy or a girl

Answer 1

i) The car getting started or not started depends on how old the car is, is their fuel in the engine, is has met in an accident etc.
so, the factors on which the car will start or not is not the same in both cases.
Therefore,it is not an equally likely event.

ii) The amount of shots he/she shoots can go in more times than it misses or vice-versa depending on player ability. which is not specified here.

Therefore,it is not an equally likely event.

iii) The answer can only be right or wrong. it is equally likely that answer is right or wrong because it is a true false question.
Therefore,it is an equally likely event.

iv) A baby can be boy or girl. it is equally likely that the baby is a boy or a girl.
Therefore,it is an equally likely event.
Hence, The option $\left(iii\right)$ and $\left(iv\right)$ are equally likely outcomes