Question

A box contains five ping-pong balls, each with a number written on it. One ball has a one painted on it, one ball has a four, two of the balls are labeled with a seven and one ball has an eight. The balls are picked from the box one at a time without replacement and placed in the order they are drawn, from left to right, to create a five-digit number. What is the probability that the five-digit number is a prime number greater than 5000

Answer 1

Answer:

0

Step-by-step explanation:

Numbers on balls:

1, 4, 7, 7, 8

Try to find the sum of all numbers:

1+4+7+7+8 = 27

According to the rule of 3, any number is dividable by 3 if the sum of it's individual is divided by 3.

27 is dividable by 3, therefore any combination will result a number with a factor of three.

Prime number is the number that is only dividable by 1 and itself. Therefore, any combination using those numbers are not prime number.

So the probability is 0