The nursing department of a college surveyed two hundred graduates from their programs about their current work. The college has different levels of degrees in nursing available. The department found the following probabilities:
P
(
bachelor’s degree
)
=
0.45
P
(
working in nursing
)
=
0.85
P
(
in nursing and bachelor’s
)
=
0.4



P(bachelor’s degree)=0.45
P(working in nursing)=0.85
P(in nursing and bachelor’s)=0.4


Find the probability that a graduate is currently working in nursing, given that they earned a bachelor's degree.
P
(
in nursing
∣
bachelor’s
)
=
P(in nursing ∣ bachelor’s)=P, left parenthesis, start text, i, n, space, n, u, r, s, i, n, g, space, end text, vertical bar, start text, space, b, a, c, h, e, l, o, r, apostrophe, s, end text, right parenthesis, equals