Welcome to the article Erica has 5 blue pens 3 black pens and 6 red pens in her desk drawer If she randomly chooses a pen from her drawer. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
The probability that she will choose a black pen is 3/14.
Given,
Erica has 5 blue pens and 3 black pens and 6 red pens In her desk drawer.
She randomly chooses a pen from her drawer.
We need to find out what is the probability that she will choose a black
pen.
What is probability?
The ratio of the number of required events to the number of possible
outcomes of the events.
Example: Tossing the head of a coin.
Number of heads in a coin = 1
Total possible outcome = {head, tail} = 2
P = 1 / 2
We use a combination if we have to select a number of events from total
items.
It is given by:
[tex]^nC_{r}[/tex] = n! / r! (n-r)!
r = required number of items.
n = total number of items.
Find the probability that she will choose a black pen.
Number of pens = 5 blue pens + 3 black pens + 6 red pens = 14 pens
Number of black pens = 3 pens
Probability
= [tex]^3C_{1}[/tex] / [tex]^{14}C_{1}[/tex]
= (3! / 2! ) / ( 14! / 13! )
= 3 / 14
Thus the probability that she will choose a black pen is 3/14.
Learn more about the probability of choosing a pen from the total number of pens given here:
https://brainly.com/question/23649591?referrer=searchResults
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Rewritten by : Brahmana
Answer: 3/11
Because there are 3 black pens and 5 blue and 6 red its 3 out of 11 so it should be 3/11 im not good at explaining just trust me