A study was made of a group of 150 children to determine which of three cartoons they watch on television. The following results were obtained:

- 35 watch Toontime
- 54 watch Porky
- 62 watch Skellingtons
- 9 watch Toontime and Porky
- 14 watch Porky and Skellingtons
- 12 watch Toontime and Skellingtons
- 4 watch Toontime, Porky and Skellingtons

**a** Draw a Venn diagram to represent these data.

Find the probability that a randomly selected child from the study watches

**b** none of the three cartoons,

**c** no more than one of the cartoons.

A child selected at random from the study only watches one of the cartoons.

**d** Find the probability that it was Skellingtons.

Two different children are selected at random from the study.

**e** Find the probability that they both watch Skellingtons.