Question

There are two box containing only yellow and black pens

Answer 1

SOLUTION; Concept

Step1: Identify the giving information in the question

BOX A contains

`\begin{gathered} 9\text{ yellow pens} \\ 6\text{ Black pens } \end{gathered}`

BOX B contains

`\begin{gathered} 9\text{ yellow pens } \\ 11\text{ black pens} \end{gathered}`

Step2: Find the probability of each event

Event 1: Choosing a green pen from the Box B

`\begin{gathered} \text{ Since there is no gr}een\text{ pen in the box, then probability of choosing a gr}en\text{ box in Box B is 0} \\ \text{then probability of choosing a gr}en\text{ box in Box B is 0} \\ Pr(E1)=0 \end{gathered}`

Event 2: Choosing a black pen from the Box B

`P(E2)=(11)/(9+11)=(11)/(20)=0.55`

Event 3: Choosing a yellow or black pen from the Box A

Since Box A contains only a yellow or black pen then the probability is

`Pr(E3)=1`

Event 4: Choosing a yellow pen from box A

Since there are 9 yellow pens in box A, the probability of choosing the yellow pen is

`Pr(E4)=(9)/(9+6)=(9)/(15)=0.6`

Probability describes the likelihood of the event.

Hence From least likely to most likely the occurrence of the event is arranged as follows according to the probability of each event

`\text{Event }1\rightarrow\text{ Event 2}\rightarrow\text{ Event 4}\rightarrow\text{ Event 3}`