Two different prime numbers are selected at random from the first ten
prime
numbers. What is the probability that the sum of the two primes is 24?
Counting again! You will need several ingredients to solve this problem:
- How many ways can you choose a pair of numbers at random from
a list of 10 numbers? (The fact that they're prime isn't relevant here).
- Prime numbers are the whole numbers that are divisible only by
themselves
and by 1 (in other words, they are the numbers with only two divisors).
So you'll need a list of the first ten prime numbers. You can find a list
of the first thousand prime numbers
here.
- Once you have the list, you need to figure out how many ways two
prime
numbers can add up to 24. A systematic list is called for here!
As always, be sure to explain the
work you did to arrive
at your answers!
