How To: Find the probability of winning the Texas Lottery

Find the probability of winning the Texas Lottery

In this Education video tutorial you will learn how to find the probability of winning the Texas Lottery. There are two sets of balls. One set contains of 56 balls, out of which five balls are picked. The other set contains 46 balls and only one is picked out of this set. All your 5+1 numbers have to match the drawn numbers for you to win the jackpot. Here you are calculating the probability of picking all the 5 balls and the special ball correctly, i.e., P(all 5 balls ^ 1 special ball). Both these are independent on each other. So, you calculate; P(all 5 balls) x P( 1 special ball). This can be written as; (1 / 56C5) x (1/ 46), where C stands for choose. 56C5 = 56! / 51! x 5!, where ‘!’ stands for factorial. When you solve this, you will get the probability of winning the Texas lottery as .000000000569111, if you buy only one ticket.

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