Probability and Statistics

Explain the concept of independent and dependent events in probability.

• Independent events are events that always occur together, while dependent events are events that never occur together.

• In probability, independent events are events where the outcome of one event does not affect the outcome of the other event, while dependent events are events where the outcome of one event does affect the outcome of the other event.

• Independent events are events that have no relation to each other, while dependent events are events that are always related.

• Independent events are events that have a high probability of occurring, while dependent events are events that have a low probability of occurring.

If a fair six-sided die is rolled, what is the probability of rolling a 3?

• 1/4

• 1/6

• 1/3

• 1/2

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of drawing a blue marble or a green marble?

• 4/10

• 1/5

• 7/10

• 2/10

If the probability of an event A is 0.4 and the probability of event B is 0.3, what is the probability of both events A and B occurring? Assume that both events are independent.

• 0.2

• 0.12

• 0.1

• 0.7

An arrangement of objects where order is important.

• combination

• permutation

• sample space

• discrete variable

An arrangement of objects where order is not important.

• combination

• permutation

• sample space

• discrete variable

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16
• 1 ⁄ 2
• 1 ⁄ 4
• 1 ⁄ 8

The forecast shows a 70% chance of rain. How likely is it to rain?

• Impossible

• Unlikely

• Likely

• Certain

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

• 1 ⁄ 6
• 1 ⁄ 8
• 1 ⁄ 2
• 1 ⁄ 12

Theoretical Probability is?

• What Should happen
• What does happen
• What Will Happen
• What I want to Happen