An architect is considering bidding for the design of a new museum. the cost of drawing plans and submitting a model is $13 comma 000. the probability of being awarded the bid is 0.1. if the architect is awarded the bid, she will make $130 comma 000 minus the $13 comma 000 cost for plans and a model.
what is the expected value in this situation?

$0

Step-by-step explanation:

So there's a 0.1 probability of winning $130000 minus $13000 cost and 0.9 chance of losing $13000

Then the expected value of this game is

Probability of winning * winning value + probability of losing * losing value

0.1*(130000 - 13000) - 0.9*13000 = 11700 - 11700 = $0

Anyone playing this game should make even after a while

( 3p + 10 q)

Step-by-step explanation:

9 p ² - l00 q ²

(3p)² - ( 10 q) ²

( a ² - b ² = ( a + b) ( a - b) )

( 3p - 10 q) ( 3 p + 10 q)