Question

Conditional probability. Please solve 60 points! :)

Answer 1

.64

Explanation:

We want to find the probability that they ordered a medium, given that they got a hot drink.

P( medium| hot) = medium and hot/ hot

= 48/ 75

=.64

Answer 2

0.64

Explanation:

To find the probability that a customer ordered a medium-sized drink, given that they ordered a hot drink, we need to use the conditional probability formula:

`\sf P(medium\:|\:hot)=(P(medium\;and\;hot))/(P(hot))`

The number of customers that order a drink that is medium-sized and hot is 48. Therefore:

`\sf P(medium\;and\;hot)=(48)/(100)=0.48`

The total number of customers that order a drink that is hot is 75. Therefore:

`\sf P(hot)=(75)/(100)=0.75`

Substitute these values into the conditional probability formula:

`\begin{aligned}\sf P(medium\:|\:hot)&=\sf (P(medium\;and\;hot))/(P(hot))\\\\&=\sf (0.48)/(0.75)\\\\&=\sf 0.64\end{aligned}`

Therefore, the probability that a customer ordered a medium-sized drink given that they ordered a hot drink is 0.64.