Question

Books Read	Harry Potter	Stephen King	Dr. Suess	American Dirt	Total
Female	56	155	140	49	400
Male	63	219	240	78	600

Harry Potter Total: 119 Stephen King Total: 374 Dr Suess Total: 380 American Dirt Total: 127 Total: 1000

Probability:

a.) a male

b.) read Harry Potter OR is a female

c.) female who read Stephen King

d.) a male GIVEN read American Dirt

Answer 1

Books	Harry Potter	Stephen King	Dr. Suess	American Dirt	Total
Female	56	155	140	49	400
Male	63	219	240	78	600
Total	119	374	380	127	1000

(a) P(male) = 600 /1000 = 0.60

P(male) =0.60

(b) P(read HP or a female) = [n(HP) + n(Female) - n(HP Female)]/ 1000 = (119 + 400 - 56)/ 1000

P(read HP or a female) = 463 / 1000 =0.463

P(read HP or a female) = 0.463

(c) P(female who read stepeh king) = 155/1000 = 0.155

P(female who read stepeh king) = 0.155

(d) P( male/ read American Dirt ) = P(( male read   American Dirt ) / P (American Dirt )

P( male/ read American Dirt ) = (78 /1000) / (127/100) = 78 / 127 = 0.6142

   P( male/ read American Dirt ) = 0.6142