Combined Events and Tree Diagrams (Part 1)

Combined Events and Tree Diagrams (Part 1)

Lesson details

Key learning points

  1. In this lesson, we will look at how we can represent combined events in a tree diagram.

Licence

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5 Questions

Q1.
I roll a fair six-sided dice. What is the probability I roll a 4 or a 6?
1/6
Correct answer: 2/6
3/6
4/6
Q2.
What is the probability that both land on 2?
1/3
Correct answer: 1/9
2/9
4/9
Q3.
What is the probability that they land on the same number?
1/2
Correct answer: 1/3
1/9
2/9
Q4.
What is the probability that they land on different numbers?
1
Correct answer: 2/3
2/9
8/9
Q5.
What is the probability that their sum is greater than 3?
1
Correct answer: 2/3
3/6
8/9

5 Questions

Q1.
What is the probability that I win both games?
0.4 x 0.4 = 0.16
0.6 + 0.6 = 0.12
0.6 x 0.4 = 0.24
Correct answer: 0.6 x 0.6 = 0.36
Q2.
What is the probability that I win at least one game?
0.24
0.36
0.6
Correct answer: 0.84
Q3.
What is the probability that I win exactly one game?
0.36
Correct answer: 0.48
0.6
0.84
Q4.
What is the probability that I lose both games?
0.08
Correct answer: 0.16
0.24
0.8
Q5.
What is the probability that I lose the first game but win the second game?
0.16
Correct answer: 0.24
0.4
0.6

Lesson appears in

UnitMaths / Probability