Draw a Venn diagram to show this information.

There were 25 tourists in the group and every tourist saw at least one of the three types of animal.

Find the number of tourists that saw Cheetah and Rhino but not Leopard.

There were 25 tourists in the group and every tourist saw at least one of the three types of animal.

Calculate the probability that a tourist chosen at random from the group

(i)     saw Leopard;

(ii)     saw only one of the three types of animal;

(iii)     saw only Leopard, given that he saw only one of the three types of animal.

There were 25 tourists in the group and every tourist saw at least one of the three types of animal.

If a tourist chosen at random from the group saw Leopard, find the probability that he also saw Cheetah.

     (A1)(A1)(A1)(A1)

Note: Award (A1) for rectangle and three labelled intersecting circles (the rectangle need not be labelled), (A1) for 5, (A1) for 2 and 1, (A1) for 4, 3 and 9.

[4 marks]

\(25 - (5 + 2 + 1 + 4 + 3 + 9)\)     (M1)

Notes: Award (M1) for their \(5 + 2 + 1 + 4 + 3 + 9\) seen even if total is greater than \(25\).

     Do not award (A1)(ft) if their total is greater than \(25\).

\( = 1\)     (A1)(ft)(G2)

[2 marks]

(i)   \(\frac{{12}}{{25}}{\text{ }}(0.48,{\text{ }}48\% )\)     (A1)(ft)(A1)(G2)

Notes: Award (A1)(ft) for numerator, (A1) for denominator.

     Follow through from Venn diagram.

(ii)     \(\frac{{16}}{{25}}{\text{ }}(0.64,{\text{ }}64\% )\)     (A1)(A1)(G2)

Notes: Award (A1) for numerator, (A1) for denominator.

     There is no follow through; all information is given.

(iii)     \(\frac{4}{{16}}{\text{ }}(0.25,{\text{ }}25\% )\))     (A1)(A1)(ft)(G2)

Notes: Award (A1) for numerator, (A1)(ft) for denominator.

     Follow through from part (c)(ii) only.

[6 marks]

\(\frac{6}{{12}}{\text{ }}(0.5,{\text{ }}50\% )\)     (A1)(A1)(ft)(G2)

Notes: Award (A1) for numerator, (A1)(ft) for denominator.

     Follow through from Venn diagram.

[2 marks]