Answer:
the probability of winning the jackpot is 1 in 42 761 565.
Step-by-step explanation:
The number of ways to select five numbers from 45 is:
ⁿCₐ = n! / (n - a)! × a!
where
- a is the number of objects
- n is the number of distinct objects
Therefore,
⁴⁵C₅ = 45! / (45 - 5)! × 5!
= (45 × 44 × 43 × 42 × 41) / (5 × 4 × 3 × 2 × 1)
= 1221759
There are 35 ways to select a gold ball. Therefore, the total number of ways to get 6 matching numbers is:
1221759 × 35 = 42 761 565
