Independent Events
What is the probability of flipping a coin and getting heads, then rolling a die and getting a 3?
1/12
You pick a marble from a bag and do not replace it. Why are the two events dependent?
Because the first event affects the probability of the second event
What does it mean for two events to be mutually exclusive?
Events that cannot happen at teh same time
What does it mean for two events to be inclusive?
Event that can happen at the same time
A coin is flipped and a die is rolled. What is the probability of flipping tails and rolling an odd number?
1/4
A spinner has 4 equal sections: red, blue, green, and yellow. Find the probability of spinning red and then spinning green on a second spin.
1/16
A box contains 10 pens, 4 of which are broken. You randomly select one pen, do not replace it, and select another. Find the probability both pens are broken.
2/15
You roll a die. Find the probability of rolling a 3 or a 5.
1/3
A deck of cards: Find the probability of drawing a heart or a queen.
4/13
A bag has 2 green, 3 red, and 5 blue marbles. Two marbles are drawn without replacement. What is the probability they are both red?
1/15
Two cards are drawn from a deck with replacement. Find the probability of drawing a heart both times.
1/16
A deck of cards: Find the probability of drawing a king, then a queen without replacement.
4/663
When selecting a card from a deck, what is the probability of drawing a 2 or a king?
2/13
A spinner has numbers 1–5. Find the probability of spinning a 2 or an even number.
2/5
You randomly pick a card from a deck, replace it, and pick again. Find the probability of drawing an ace both times.
1/169
You roll two dice. What is the probability that both show an even number?
1/4
There are 5 green, 6 yellow, and 9 red candies. If two candies are picked without replacement, what is the probability both are green?
1/19
A bag has 3 blue marbles and 5 green marbles. Find the probability of choosing a blue marble or a green marble.
1
In a group of students, 12 like soccer, 8 like basketball, and 5 like both. What is the probability a randomly selected student likes soccer or basketball?
15/total
In a raffle of 100 tickets, you buy 2. What is the probability you win at least once if 2 winners are chosen randomly?
1 - (98/100 x 97/99)
A bag has 5 red, 3 blue, and 2 green marbles. You pick a marble, replace it, and pick another. What's the probability that both are blue?
9/100
In a class of 30 students (15 boys, 15 girls), a president and vice president are chosen one after another without replacement. What is the probability they are both girls?
7/29
You roll a die. Find the probability of rolling an even number or a number greater than 4.
1/6
In a survey, 30 students like pizza, 25 like burgers, and 10 like both. If 70 students are surveyed, what is the probability that a student likes pizza or burgers?
45/70
You are picking 2 letters from the word "PROBABILITY" without replacement. What is the probability that both letters are vowels?
2/15