Question

An individual's chances of being killed by a lighting strike in a given year is 1/5,000,000. The Georgia Lottery has just invented a new game "Thunder" in which you win if you guess 5 out of 65 numbers right (order does not matter). True or False: Your chances of winning Thunder are higher than your chances of dying in a lightning strike in a given year.

Answer 1

False

Step-by-step explanation:

Since order does not matter, the total number of possible outcomes in a game of "Thunder" is the combination of 5 elements from 65 possible numbers, which is given by:

`_nC_r=(n!)/((n-r)!r!) \\_(65)C_5=(65!)/((65-5)!5!)\\_(65)C_5=(65*64*63*62*61)/(5*4*3*2*1)\\_(65)C_5=8,259,888`

Therefore, there is a 1/8,259,888 chance in winning "Thunder" which is lower than the chance of being killed by a lighting strike (1/5,000,000). The claim is False