Question

A jar contains 2 orange balls, 5 black balls, and 3 pink balls.
Event A = drawing a black ball on the first draw
Event B = drawing a pink ball on the second draw
If two balls are drawn from the jar, one after the other without replacement, what is P(A and B) expressed in simplest form?

Answer 1

Event A= draw a black ball on the first draw.
= 5/ (2+5+3) = 0.5 = 50%

Event B= draw a pink ball on the second draw.
= P(O, P) +P(B, P) + P(P,P)
= probability of drawing orange first then pick + probability of drawing black then pink + probability of drawing pink then pink again
= (2/10)(3/9) + (5/10)(3/9) + (3/10)(2/9)
= 0.3 = 33%

P (event A and B) = P (drawing a black then a pink)
= (5/10)(3/9)= 16.6%