High School

Welcome to the article 40 of students prefer to use pencils over pens for their assignments What is the probability that you randomly select four students and all four. 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!

40% of students prefer to use pencils over pens for their assignments. What is the probability that you randomly select four students and all four prefer to use pencils over pens?

Answer :

Answer:

0.0233

Step-by-step explanation:

We are told that 40% of students prefer to use pencils over pens for their assignments.

This means 40 out of 100 students prefer to use pencils over pens.

Thus, for the first draw, P(pencil over pens for first draw) = 40/100

Since person using pencil over pens is selected without replacement, then, we now have a sample space of 99;

Second draw; P(pencil over pens for 2nd draw) = 39/99

Similarly, for third draw; P(pencil over pens for 3rd draw) = 38/98

For fourth draw; P(pencil over pens for 4th draw) = 37/97

Thus;

probability that you randomly select four students and all four prefer to use pencils over pens is;

P(all four prefer pencils over pens) = (40/100) × (39/99) × (38/98) × (37/97) = 0.0233

Thank you for reading the article 40 of students prefer to use pencils over pens for their assignments What is the probability that you randomly select four students and all four. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Brahmana