GCSE Secondary Maths Age 13-17 - Probability & Statistics: Independent Events - Explained

The video tutorial explains the concept of probability, focusing on the likelihood of two students, Sanay and Jaden, being late for school. Alfie calculates the joint probability of both being late by multiplying their individual probabilities, assuming the events are independent. The teacher clarifies that independence means one event does not affect the other, using examples to illustrate this. The tutorial concludes by emphasizing that multiplying probabilities is valid only for independent events.

What is the probability that Sanay will be late for school tomorrow?

• 0.20

• 0.10

• 0.15

• 0.05

What assumption did Alfie make when calculating the probability of both Sanay and Jaden being late?

• That they have the same probability of being late

• That they always go to school together

• That they are independent events

• That they are neighbors

What does it mean for two events to be independent?

• One event affects the other

• They occur at the same time

• They have no effect on each other

• They have the same probability

Why can the probabilities of Sanay and Jaden being late be multiplied together?

• Because they have the same probability

• Because they always go to school together

• Because they are neighbors

• Because they are independent events

What would happen if Sanay and Jaden were neighbors and walked to school together?

• Their probabilities would be added

• Their probabilities would be dependent

• Their probabilities would be multiplied

• Their probabilities would remain independent