A box contains 14 40W lamps, 28 60W lamps and 58 25W lamps, all the lamps being of the same size and shape. Three lamps are drawn at random from the box. Determine the probability of:
(i). getting one 25W, one 40W and one 60W lamp, with replacement.
(ii). Getting either one 25W and two 40W or one 60W and two 40W lamps with replacement.

i would need to see the dot plot : )

or

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

c

step-by-step explanation: