Mutually Exclusive
Being single and married
mutually exclusive
What is the probability of rolling a die and landing of an even number?
1/2
Define a dependent event
Two outcomes, where the first one will have an effect on the second one.
You have a jar with 2 red jelly beans, 3 green jelly beans, and 5 yellow jelly beans. What is the probability that you randomly choose a red or a green jelly bean?
1/2
The probability of having a 99.9 ATAR and getting an A
not mutually exclusive
What is the probability of rolling a die and landing on a number less than 3?
1/3
A deck of cards has 3 blue, 4 black, and 6 purple cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked. P(two blue cards in a row)
2/52 = 1/26
Your sock drawer has 3 pairs of white socks, 2 pairs of black socks, and 5 pairs of brown socks. Once a pair of socks is choosen, it is not replaced. Find p(white and brown).
1/6
Turning left and turning right
mutually exclusive event
Each of the letters in the word RESPONSIBILITY are on separate cards face down on the table. If you pick a card at random, what is the probability that the letter on it will be “S”?
1/7
A deck of cards has 5 pink, 2 gray, and 6 black cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked. P(the first card is gray and the second card is pink)
5/78
Jade made 14 out of 52 free throws. If a player usually takes a 312 free throws in a season, how many free throws do you predict Jade will make in an entire season?
84 free throws
Turning left and scratching your head
not mutually exclusive
You accidentally dropped a coin from the top of 10 stairs. What is the probability that it will land on the fourth step, heads up?
1/20
Two balls are drawn successively without replacement from a box which contains 4 white balls and 3 red balls. Find the probability that the first ball drawn is white and the second is red.
4/14 = 2/7
Your sock drawer has 3 pairs of white socks, 2 pairs of black socks, and 5 pairs of brown socks. Once a pair of socks is choosen, it is not replaced. Find p(black and brown).
1/9
Drawing a card that is Kings and Aces (event A) and then a Heart and Ace (event B)
(1) a mutually exclusive example and (2) NOT a mutually exclusive
You will throw two dice, one numbered 1 to 7 and the other with the letters A through G. What is the probability that you will roll a value less than 5 and the letter E?
4/49
The game of backgammon uses two standard dice, each with the numbers one through six. You need to roll double 6’s to win the game. What is the probability you will get that result on your next roll?
1/36
The number of ways you can pick an outfit if you have 3 shirts, 2 pairs of pants, and 5 pairs of shoes.
30 ways