Question

If there are four independent events E1, E2, E3, and E4, then the probability P(E1 and E2 and E3 and E4) equals ____________________.

Answer 1

The probability of having all four events is;

`P(E_1)* P(E_2)* P(E_3)* P(E_4)`

Step-by-step explanation:

Given that there are four independent events E1,E2,E3 and E4.

`E_1,E_2,E_3,E_4`

The probability of having all the four events;

`P(E_1-and-E_2-and-E_3-and-E_4)`

would be the product of the probability of each of the events;

`P(E_1-and-E_2-and-E_3-and-E_4)=P(E_1)* P(E_2)* P(E_3)* P(E_4)`

Therefore, the probability of having all the four events is;

`P(E_1)* P(E_2)* P(E_3)* P(E_4)`