Question

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 1

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