In a lottery game, a player picks 6 numbers from 1 to 45. If 4 of those 6 numbers match those drawn, the player wins third prize. Let's walk through the steps to determine the probability of winning third prize. In how many ways can 4 winning numbers be chosen from the possible 6 numbers

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

you just switch the numbers basically so it would be 3/17