Independent Events
Suppose we roll two dice. What is the probability of 1 on both dice?
What is the probability of number less than 4 on first die and less than 3 on the second?
Suppose we roll one fair die and one loaded die with distribution table
| Outcome | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Probability | .1 | .15 | .15 | .15 | .15 | .3 |
What is the probability of 6 on both?
About 9% of people are left-handed. Suppose 2 people are selected at random from the U.S. population.
What is the probability that a randomly selected person from U.S. population is a left-handed female?
Are “selecting a heart” and “selecting an ace” from a regular 52-card deck independent?
Suppose someone removed the king of spades from a card deck, and replaced it with another king of hearts.
Are “selecting a heart” and “selecting an ace” from this 52-card deck independent?