The opera house has 2000 seats. There are 1200 seats on the main floor and 800 in the balcony. 40% of those in the balcony buy a program while 50% of people on the main floor buy a program. On opening night of The Lion King, every seat is taken. If an audience member is selected at random, what is the probability that they bought a program?

Question

anonymous · Answer

A 22.5%

 B 42%

C  46%

  D 90%

  E 92%

anonymous · Answer

Step by step or just the answer?

anonymous · Answer

Both would be great!

ybarrap · Answer

The probability that they bought a program is based on the 40% and the 50% figures given, these are the potential "success" events:

`Floor Program "successes": ` 0.5*1200
`Balcony Program "successes": ` 0.4*800
`Total "successes": ` 0.5*1200+0.4*800
`Total  possibilities: ` 1200+800

Therefore, `Probability of "success" is: ` (0.5*1200+0.4*800)/(1200+800)

anonymous · Answer

well I guess he already answered haha

anonymous · Answer

Thank you! @shoplovepc @ybarrap

anonymous · Answer

btw, love your hair, it's so pretty I'm getting mine done like that in a few weeks

anonymous · Answer

i got 46%

ybarrap · Answer

That's what I got, too.