Which of the following experiments have equally likely outcomes? Explain. Class 9

Which of the following experiments have equally likely outcomes? Explain. Class 9

Question 1.

Which of the following experiments have equally likely outcomes? Explain. Class 9

i. A driver attempts to start a car. The car starts or does not start.

ii. Tossing a fair coin once.

iii. Rolling a fair 6-sided die.

iv. Choosing a marble randomly from a bag that contains 3 red marbles and 7 blue marbles.

v. A baby is born. It is a boy or a girl.

Solution:

i. Not equally likely.

The car may be more likely to start if it is in good condition. Both outcomes do not necessarily have equal chances.

ii. Equally likely.

A fair coin has two outcomes S = {H, T}

Both Head and Tail have equal chance $\frac{1}{2}$.

iii. Equally likely.

A fair die has outcomes S = {1, 2, 3, 4, 5, 6)

Each number has equal chance $\frac{1}{6}$.

iv. Not equally likely.

There are more blue marbles than red marbles, so choosing a blue marble is more likely.

v. Equally likely, at this level.

The two outcomes are S = {Boy, Girl}

Both outcomes have equal chance $\frac{1}{2}$.