If a selected home takes under 30 days or over 90 days to se

If a selected home takes under 30 days or over 90 days to sell, what is the probability its initial asking price is under $200,000 or over $250,000?

Show your work please, and thank you for your help!

Under $150,000 $200,000- Over $150,000 $199,999 $250,000 $200,000 Under 30 30-90 Over 90 80 54 50 184 81 63 70 214 59 69 76 204 62 65 71 198 282 251 267 800

Solution

P(under 30 or over 90) = (282 + 267)/800 = 0.6862

P(under 150,000 or over 250,000) = (184+198)/800 = 0.4775

P(under 150,000 or over 250,000/under 30 or over 90 ) = P(<150,000 or >250,000 and <30 and >90) / P(under 30 and over 90)

= (80+50+62+71)/800 / (0.6862)

= 0.3287/0.6862

= 0.4790