Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. some are scented and some are unscented. if she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel. for the events "shower gel" and "scented" to be independent, what must be shown to be true? p(lotion) = 42% p(scented) = 42% p(shower gel | scented) = 42% p(scented | shower gel) = 42%

Respuesta :

The probability of selecting a shower gel given item is scented must be the same as grabbing shower gel which is 42%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Juanita has a storage closet at her shop with extra bottles of lotion and shower gel, some are scented and some are unscented.

If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.

For the events "shower gel" and "scented" to be independent.

P(A|B) = P(A)

P(B|A) = P(B)

P(A∩B) = P(A) × P(B)

We know that the probability she selects a shower gel is 42%. Let this event be A. Then we have

P(shower | scented) = P(shower gel) = 42%

This must be true for the events to be independent.

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

The answer is

C - P(shower gel | scented) = 42%

Step-by-step explanation:

Hope this helped!