Three car clubs are called Vintage ( $V$ ), Supercar ( $S$ ) and Classic ( $C$ ).

No member belongs to both the Vintage club and the Classic club. Some members belong to both the Vintage club and the Supercar club, and some belong to both the Supercar club and the Classic club. No member belongs to all three clubs.

For a car owner chosen at random from a large town, the probabilities of the separate regions are

$\cap S') = 0.24$ , $\cap S) = 0.16$ , $\cap V' \cap C') = 0.12$ , $\cap C) = a$ , $\cap S') = 0.15$ , and the probability of belonging to none of the three clubs is $b$

Explain why $\cap C) = 0$ .

Given that $P(V∣S)=P(V)P(V\mid S)=P(V)$ , find the value of $a$ .

Find the value of $b$ .

Three car clubs are called Vintage ( $V$ ), Supercar ( $S$ ) and Classic ( $C$ ).

For a car owner chosen at random from a large town, the probabilities of the separate regions are

$\cap S') = 0.24$ , $\cap S) = 0.16$ , $\cap V' \cap C') = 0.12$ , $\cap C) = a$ , $\cap S') = 0.15$ , and the probability of belonging to none of the three clubs is $b$

Explain why $\cap C) = 0$ .

Given that $P(V∣S)=P(V)P(V\mid S)=P(V)$ , find the value of $a$ .

Find the value of $b$ .

2.3 Probability

Question 15

Markscheme

2.3 Probability

Question 15

Markscheme

2.3 Probability

Question 15

2.3 Probability Questions

2.3 Probability

Question 15

2.3 Probability Questions