If a lottery game was based on choosing 4 numbers from the n

If a lottery game was based on choosing 4 numbers from the numbers 1 to 50 with another number chosen from the numbers 1 to 24, what is the probability of choosing the numbers for the winning jackpot? Express the answer as a fraction.

Solution

There would be exactly one combination possible for winning lottery

Therefore , No. of favourable outcomes = 1

The number of possible combinations which can be formed

No. of possible outcomes => 50 x 50 x 50 x 50 x 24 = 150000000

Probability = No. of Favourable Outcomes / No. of possible outcomes = 1/150000000