In the tri-state megabucks lottery, a player chooses six different numbers from 1 to 40, hoping to match all six numbers to be randomly drawn that week. the order in which the numbers are drawn is unimportant. what is the probability of winning this lottery?

We must use this formula: n! / [r! * (n-r)!]

40! / 6! * 34! = (40 * 39 * 38 * 37 * 36 * 35) / 6! which equals

2,763,633,600 / 720 = 3,838,380 ways you can choose 6 numbers out of forty.

So, the probability of winning equals 1 / 3,838,380 whch equals

0.00000026052657631605

Source: 1728.com/combinat.htm

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

it’s supposed to be -4+45=41

step-by-step explanation: