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 Solution: a true-false question. The solution is right or wrong.
(iv) A baby is born. It is a boy or a girl.
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 Solution: a true-false question. The solution is right or wrong.
(iv) A baby is born. It is a boy or a girl.
The correct option is A options (iii) and (iv) are correct.
Explanation for the correct option:
Option (iii): Determine whether the experiments have equally likely outcomes.
The outcomes are equally likely.
The given statement has equally likely outcomes since the likelihood in both circumstances is equal. This implies that the solution could be correct or incorrect.
Option (iv): This assertion has an equal chance of being true.
Because it is known that the freshly born kid can be either a boy or a girl. This implies that the given statement has equally plausible consequences.
Hence, options (iii) and (iv) are correct.
Explanation for the incorrect options:
Option (i): It is possible that the car will not start.
The given statement does not have equally likely outcomes because the likelihood is determined by a variety of technical elements.
Option (ii): This assertion does not have equal chances of being true.
The given statement does not have equally likely outcomes because the likelihood is dependent on the player's aptitude.
Therefore, options (i) and (ii) are incorrect.
Hence, options (iii) and (iv) are correct.
options (iii) and (iv) are correct.
Explanation for the correct option:
Option (iii): Determine whether the experiments have equally likely outcomes.
The outcomes are equally likely.
The given statement has equally likely outcomes since the likelihood in both circumstances is equal. This implies that the solution could be correct or incorrect.
Option (iv): This assertion has an equal chance of being true.
Because it is known that the freshly born kid can be either a boy or a girl. This implies that the given statement has equally plausible consequences.
Hence, options (iii) and (iv) are correct.
Explanation for the incorrect options:
Option (i): It is possible that the car will not start.
The given statement does not have equally likely outcomes because the likelihood is determined by a variety of technical elements.
Option (ii): This assertion does not have equal chances of being true.
The given statement does not have equally likely outcomes because the likelihood is dependent on the player's aptitude.
Therefore, options (i) and (ii) are incorrect.
Hence, options (iii) and (iv) are correct.
