Go to the website Mega Millions Lottery which gives results and information for

Question

Go to the website Mega Millions Lottery which gives results and information for the Mega Millions lottery. In the mega millions game the player must choose five different numbers from the numbers 1 to 75 (order is not important) and one "Mega Ball number" from the numbers 1 to 15. The chance of winning the Jackpot is 1 in 258,890,850 (see the Mega Millions Info table).

Question 1. In how many ways can you choose 5 different numbers between 1 and 75 if order is not important? 17259390 Correct: Your answer is correct. ( I ALREADY SOLVED Q 1 - just need help on Q2)

Question 2. Suppose that Mega Millions game officials change the game as follows: the player must choose six numbers from 1 to 53 and one "Mega Ball" number from the numbers 1 to 46. The chance of winning this new game is __________

Explanation / Answer

Number of ways in which 6 numbers can be chosen frm 1 to 53 = 53C6

= 53!/(6! x 47!)

= 22,957,480

Number of ways in which Mega Ball can be chosen = 46

So, total number of options = 22,957,480 x 46 = 1,056,044,080

P(winning the new game) = 1 in 1,056,044,080

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