# Lottery probability in numbers

What is the probability that 6 numbers drawn in a lottery will be prime? The numbers range from 1-46.

So i know that the first prime numbers under 46 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43. Which is a total of 14.

Would it be something like 46!/(14!)(32!)? I don't understand probability that well.

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#### Solution Preview

Dear John,

Probability can be defined as the chance that an event will occur. Mathematically, this takes a value from 0 to 1: 0 being no chance of it happening and 1 being absolute chance of it happening.

Another concept you need for this problem:

Probability event A and B to happen = Probability (A) x Probability (B) [Assumption: A and B are ...

#### Solution Summary

The expert examines what the probabilty that six numbers is drawn in a lottery will be prime.