Question

Give an example of two mutually independent events.

1. (a) Flipping a coin and getting heads
(b) Flipping the same coin again and getting tails
2. (a) Rolling a die and getting a 6
(b) Drawing a red card from a standard deck of playing cards
3. Both 1 and 2
4. none of the above

Answer 1

Two events A and B are independent if the knowledge that one occurred does not affect the chance the other occurs.

Step-by-step explanation:

Two events A and B are independent if the knowledge that one occurred does not affect the chance the other occurs. For example, the outcomes of two roles of a fair die are independent events. The outcome of the first roll does not change the probability for the outcome of the second roll. To show two events are independent, you must show only one of the above conditions. If two events are not independent, then we say that they are dependent events.