Business Education Nursing Computer Science Other Total
Men 38 26 14 47 18 143
Women 23 39 26 32 28 148
Total 61 65 40 79 46 291

If a student is randomly chosen, what is the probability that the student is a business major, given that the student is a woman?

Question

Business	Education	Nursing	Computer Science	Other	Total
Men	38	26	14	47	18	143
Women	23	39	26	32	28	148
Total	61	65	40	79	46	291

If a student is randomly chosen, what is the probability that the student is a business major, given that the student is a woman?

amistre64 · Answer

woman is given; so how many woman total?

how many are in business? from that grouping?

amistre64 · Answer

if that 148 is a total; then id say 23/148

amistre64 · Answer

hard to parse the data from the post tho

amistre64 · Answer

(number of business women) / (total women)

anonymous · Answer

it is P ( business | woman )
and we know that
P ( A | B ) = P ( A AND B ) / P ( B )

So it is

P ( Woman + Business ) / P ( Business)