Question

A number from numbers 1 to 100 was chosen at random. What is the
probability that this number is a prime number that lies between 75
and 85?
a) 1/10
b) 1/50
c) 1/25
d) 7/100​

Answer 1

Answer:

1/50

Step-by-step explanation:

prime numbers that lies between 75 to 85are 79,83

ie 2 prime numbers

so probability=2/100=1/50

Answer 2

Answer:

The probability that this number is a prime number that lies between 75

and 85= (b) 1/50

Step-by-step explanation:

From the above question

What is a Prime number?- It is such a number which is not completely divisible by any other number but itself.

For eg: the umber 13 is ot divisible by any other number but the number 13 itself.

Given:

A number chosen- From 1 to 100

To find:

Prime number between 75 and 85?

Solution:

It is given that the prime number is between 75 and 85

So, between them are 10 numbers.

Therefore the probability an be 10/100= 1/10

But since it is given that the prime number lies between 75 and 85

Let see the numbers between them- 76, 77, 78, 79, 80, 81, 82, 83,84

If you observe carefully, leaving the numbers 79 and 83 all the other numbers are divisible by one or the other number.

So, there can be two numbers 79,83

Therefore the number chosen is either of these two numbers

thus, probability that this number is a prime number that lies between 75 and 85 will be;

2/100= 1/50

#SPJ3