Basic Statistics & Probability
Complementary & Mutually Exclusive Events Examples
Let's note each Example as complementary, mutually exclusive, both, or neither.
Note: the piggy bank contains a Quarter (25 cents), Dime (10 cents), Nickel (5 cents), and Penny (1 cent)
Picking one coin from the piggy bank and getting a dime or a nickel.
Mutually exclusive? Yes. You can't pick a dime and a nickel at the same time
Complementary? No. There are other options, like a penny or quarter
Picking a coin from the piggy bank and getting a quarter or a coin divisible by 5.
Mutually exclusive? No
Quarters are also divisible by 5 (as well as dimes and nickels), so these are not mutually exclusive nor are they complementary.
Choosing one marble from the bag and getting a blue or a green one.
Mutually exclusive? Yes. You can't choose a marble that is both blue and green at the same time.
Complementary? No. There are other options (like an orange one).