Question

In a town,

1/5 of all cars are silver in colour. Two cars pass the gates of a school. The incomplete tree diagram in the photo gives the possible colour combinations.

(a)
Copy and complete the tree diagram.
(b)
Calculate the probability that
both cars are silver,

(C)
Calculate the probability that only one car is silver.
​

Answer 1

The probability that the car is silver is given by: 1/5

The probability that the car is not silver = Total Probability - Probability that car is silver

The probability that the car is not silver = 1 - 1/5

The probability that the car is not silver = 4/5

(a)

The tree diagram can be completed by using these values, The missing values from top to bottom are in sequence:

1) 4/5

2) 1/5

3) 4/5

(b)

P (both cars are silver) = 1/5 · 1/5 = 1/25

(c)

P (only one car is silver) = 1/5 · 4/5 = 4/25