Question

YAL HELP ME PLSS jxbxjdjd

Answer 1

(d) is true

Step-by-step explanation:

Given

`Brown = 8`

`Purple = 7`

Required

Which of the options is true

A) P(Brown) = P(Not Brown)

P(Brown) is calculated as:

`P(Brown)=(Brown)/(Brown + Purple)`

`P(Brown)=(8)/(8+7)`

`P(Brown)=(8)/(15)`

P(Not Brown) is calculated as:

`P(Not\ Brown) = 1 - P(Brown)` --- Complement rule

`P(Not\ Brown) = 1 - (8)/(15)`

Solve

`P(Not\ Brown) = (7)/(15)`

Both are not equal.

Hence, (a) is not true

(b) P(Brown) < P(Not Brown)

In (a) above

`P(Brown)=(8)/(15)`

`P(Not\ Brown) = (7)/(15)`

By comparison;

`P(Brown) > P(Not\ Brown)`

Because:

`8/15 > 7/15`

Hence, (b) is not true

(c) P(Not Brown) > P(Brown)

This is the same as (b)

i.e. both conditions represent the same.

Hence, (c) is incorrect

(d) P(Brown) > P(Not Brown)

In (b), we established that

`P(Brown) > P(Not\ Brown)`

Because:

`P(Brown)=(8)/(15)`

`P(Not\ Brown) = (7)/(15)`

`8/15 > 7/15`

Hence, (d) is true