Which event has exactly 12 possible outcomes? tossing a coin 6 times

tossing a coin and randomly choosing 1 of 4 different cards

rolling a number cube with sides labeled 1 -6 and then rolling the number cube again

rolling a number cube with sides labeled 1-6 and tossing a coin

please help me TwT

rolling a number cube with sides labeled 1-6 and tossing a coin

Step-by-step explanation:

need more info

step-by-step explanation:

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