Exploring Independent and Dependent Probability

What does it mean when events are independent?

• The events cannot occur simultaneously.

• The outcome of one event affects the outcome of another.

• The outcome of one event does not affect the outcome of another.

• The events must occur simultaneously.

If a bag contains 5 red and 5 blue marbles, what's the probability of drawing a blue marble, replacing it, and then drawing another blue marble?

• 1/50

• 2/25

• 1/5

• 1/25

What is the probability of flipping a coin and getting heads, then flipping it again and getting tails?

• 1/4

• 1

• 0

• 1/2

If you draw a name from a hat and then draw another without replacing the first, are these events independent or dependent?

• Independent

• Dependent

• Both independent and dependent

• Cannot be determined

In a sequence of independent events, how do you calculate the overall probability?

• Add the probabilities of each event.

• Subtract the probabilities of each event.

• Divide the probabilities of each event.

• Multiply the probabilities of each event.

What is the probability of drawing a red marble and then a blue marble from a bag of 5 red and 5 blue marbles, without replacement?

• 1/2

• 5/18

• 5/9

• 1/4

What does conditional probability refer to?

• The probability of an event given that another event has occurred.

• The likelihood of two independent events occurring.

• The probability of an event not occurring.

• The total outcome of all possible events.

If Tim has eaten 6 orange and 4 pineapple jellybeans from a bag of 30, what's the probability the next jellybean he picks will be raspberry?

• 1/3

• 1/2

• 1/5

• 1/10

If a copy machine has a 50% chance of working in the morning and a 15% chance of overheating in the afternoon if it worked all morning, what is the probability it works in the morning and overheats in the afternoon?

• 7.5%

• 35%

• 85%

• 65%

For a school council of 13 students (6 boys and 7 girls), what's the probability that two girls will be selected to attend a meeting?

• 5/13

• 1/2

• 5/26

• 7/26