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 the yoghurts were the same flavour.

Question

Linda Jarvis

Mathematics

22 July, 05:34

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 the yoghurts were the same flavour.

+1

Answers (2)

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Parrish · 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.

Aryan Mata · 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

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 the yoghurts were the same flavour.

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 the yoghurts were the same flavour.