Probability that she takes exactly £2.50 = 27/220
Number of coins in Pita's bag = 12
Number of £1 coins = 3
Number of 50p coins = 9
For Pita to take exactly £2.50 from the bag, it means she has to take two £1 coins and one 50p coin
Total number of coins that Pita has to take from the bag = 3
Number of ways of taking 3 coins out of 12 = 12C3
[tex]12C3=\frac{12!}{(12-3)!3!}[/tex]
Number of ways of taking 3 coins out of 12 coins = 220 ways
Number of ways of taking two £1 coins from 3 £1 coins = 3C2
[tex]3C2=\frac{3!}{(3-2)!2!}[/tex]
Number of ways of taking two £1 coins from 3 £1 coins = 3 ways
Number of ways of choosing one 50p coin from 9 50p coins = 9C1
[tex]9C1 = \frac{9!}{(9-1)!1!}[/tex]
Number of ways of choosing one 50p coin from 9 50p coins = 9
Probability that she takes exactly £2.50 = (9x3)/220
Probability that she takes exactly £2.50 = 27/220
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