10 questions🇬🇧English
🎲 Probability Tree Diagrams – GCSE
Maths · GCSE — tree diagrams for independent and dependent events, with and without replacement
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Questions
On a probability tree diagram, what must the probabilities on the branches from any one point add up to?
100
0.5
0
1
20s
On a tree diagram, the 'rain' branch has probability 0.3. What probability goes on the 'no rain' branch?
0.7
1.3
0.03
0.3
20s
How do you find the probability of one complete path through a tree diagram, such as A and then B?
Add the probabilities along the branches
Multiply the probabilities along the branches
Subtract the probabilities along the branches
Divide the probabilities along the branches
20s
A fair coin is flipped twice. What is the probability of getting two heads?
1/2
1/3
1/4
3/4
20s
A bag holds 3 red and 2 blue counters. One is taken, replaced, then another is taken. What is P(both red)?
3/10
6/10
6/25
9/25
30s
A bag holds 3 red and 2 blue counters. Two are taken without replacement. What is P(both red)?
3/10
9/25
1/2
6/25
30s
A spinner lands on 'win' with probability 0.4. It is spun twice. What is the probability of exactly one win?
0.16
0.48
0.24
0.52
30s
A fair six-sided dice is rolled twice. What is the probability of getting at least one six?
25/36
5/18
1/3
11/36
30s
P(rain) = 0.2. If it rains, P(Sam is late) = 0.5; if not, P(Sam is late) = 0.1. What is P(Sam is late)?
0.10
0.08
0.18
0.60
60s
A jar has 4 green and 6 yellow sweets. Two are taken without replacement. What is P(at least one green)?
2/3
16/25
8/15
1/3
60s