A theme park asked 900 people to choose their favourite activity from a list of five - OCR - GCSE Maths - Question 4 - 2019 - Paper 1

From the pictogram, we can see that:

• Water rides have 4 symbols, so they represent 4 x 100 = 400 people.
• Family rides have 2 symbols, representing 2 x 100 = 200 people.

To find out how many more chose water rides than family rides, we calculate:

$400 - 200 = 200$

Thus, 200 more people chose water rides than family rides.

Since all 900 people chose one of the five activities, and we've accounted for entertainment (300), water rides (400), and family rides (200), we can calculate the number of people who chose children's rides:

$900 - (300 + 200 + 400) = 0$

Therefore, children's rides would have 0 symbols in the pictogram, indicating no one chose this option.

The prime numbers between 1 and 20 are: 2, 3, 5, 7, 11, 13, 17, 19. That gives us a total of 8 prime numbers.

The total number of cards is 20. Therefore, the probability that Will wins is:

$P = \frac{\text{Number of prime numbers}}{\text{Total number of cards}} = \frac{8}{20} = \frac{2}{5}$

So, the probability that Will wins is ( \frac{2}{5} ).

To find the cost of the online ticket, we first need to calculate 15% of £68:

$15\%\: of\: 68 = 0.15 \times 68 = 10.20$

We then subtract this amount from the original price:

$68 - 10.20 = 57.80$

Thus, the cost to buy a family ticket online is £57.80.