Question

There are 3 strawberry yoghurts, 2 peach yoghurts and 4 cherry yoghurts in a fridge.

Answer 1

Step-by-step explanation:It says:

There are 3 strawberry yoghurts, 2 peach yoghurts and 4 cherry yoghurts in a fridge.

Kate takes a yoghurt at random from the fridge.

She eats the yoghurt.

She then takes a second yoghurt at random from the fridge.

Work out the probability that both yoghurts were the same flavour.

Answer 2

There is a 3/9 = 1/3 chance that she takes 1 strawberry. So there is a 1/3*1/3 = 1/9 chance that she gets two.
Peach== 2/9*2/9 = 4/81 chance of two
And cherry == 4/9*4/9 = 16/81 of two.

So 1/9 + 4/81 + 16/81
= 9/81 + 4/81 + 16/81
= 29/81
= 0,358 chance