Question

The probability that a dessert sold at a café contains chocolate is is 75%. The probability that a dessert contains chocolate and nuts is 23%. Find the probability that a randomly chosen chocolate dessert contains nuts.

Answer 1

@rational I'm kinda confused by the question..

Answer 2

P( chocolate) = 0.75

P( chocolate and nuts) = 0.23

P( nuts| chocolate ) = ?

Answer 3

it doesn't say.. and there's no way to tell, right? and isn't the question asking about chocolate desserts that contain nuts but it says that the prob. that a dessert contains chocolate and nuts is 23%?

Answer 4

look at only chocolates

Answer 5

how'd you get 0.52?

Answer 6

wait, nevermind

Answer 7

.75-0.23, right?

Answer 8

yes

Answer 9

probability for both chocolate and nuts = 0.23
probability for chocolates dessert = 0.75

so probability for having nuts in chocolate dessert = ?

Answer 10

simply take the ratio

Answer 11

what ratio? this is where I'm confused... WHY did you take .75-.23?

Answer 12

\[\text{P(nuts | chocolates)} = \dfrac{\text{P(nuts} \cap \text{chocolates)}}{\text{P(chocolates)}} = \dfrac{0.23}{0.75} = ? \]

Answer 13

nevermind... I'm over complicating things

Answer 14

No, this is a complicated concept. This is the start of conditional probability and inference which is very hard concept in entire probability

Answer 15

0.306... ~30.7%

Answer 16

looks good!

Answer 17

okay, I'm sorry :/ can you continue to help?

Answer 18

we're done!

Answer 19

I mean with more XD

Answer 20

il try..