Question

Brian's school locker has a three-digit combination lock that can be set using the numbers 5 to 9 (including 5 and 9), without repeating a number.
The probability that the locker code begins with a prime number is what
%. The probability that the last digit of the locker code is an odd number is what
%.

Answer 1

Answer:

The probability that the locker code begins with a prime number is:

2/5 = 40%

The probability that the last digit is an odd number which will make the locker code an odd number is:

3/5 = 60% ....

Step-by-step explanation:

According to the given statement Brian's school locker has a three-digit combination lock that can be set using the numbers 5 to 9 (including 5 and 9), without repeating a number.

Therefore the digits that can be used in the code are 5,6,7,8 or 9.

A) The probability that the locker code begins with a prime number is what  %.

Two of the digits are prime number: 5 and 7

Thus the probability that the locker code begins with a prime number is:

2/5 = 40%

B) The probability that the last digit of the locker code is an odd number is what  %.

If the last digit is an odd number than the locker code is an odd number.

There are three odd numbers: 5,7,9

Thus the probability that the last digit is an odd number which will make the locker code an odd number is:

3/5 = 60% ....