Question

Which of the following are independent events?

• A. Winning a card game and running out of bread.
• B. Growing the perfect tomato and owning a cat.
• C. Coloring the hair and cutting logs of wood.
• D. $\text{P(E) = P(A) . P(B)}$

Answer 1

Answer: (A), (B), (C), (D)

$\text{P(E) = P(A) . P(B)}$

$\underset{–}{Statement1}$: Winning a card game and running out of bread.

Both the events are independent of each other. They do not affect the probability of each other.

$\underset{–}{Statement2}$: Growing the perfect tomato and owning a cat.

These events are also independent of each other. They do not affect the probability of each other.

$\underset{–}{Statement3}$: Coloring the hair and cutting logs of wood.

These events are also independent of each other. Also, they do not affect the probability of each other.

$\underset{–}{Statement4}$: $\text{P(E) = P(A) . P(B)}$

This is the formula of probabilty calculation of independent events occuring simultaneously.