Two balls are drawn in succession, from a box containing 3 blue and 2 white ball
ID: 2908150 • Letter: T
Question
Two balls are drawn in succession, from a box containing 3 blue and 2 white balls a) What is the probability of drawing a white ball on the second draw (without b) What is the probability of drawing a white ball on the second draw (with c) What is the probability of drawing a white ball on the second draw (without d) What is the probability of drawing a white ball on the second draw (with replacement)? replacement)? replacement), given that the first draw was white? replacement), given that the first draw was white?Explanation / Answer
a) P( White ball on second draw)
= P( First is blue)*P(Second is white)+P( First is White)*P(Second is white)
= (3/5)*(2/4)+(2/5)*(1/4)
= 2/5
= 0.4
b)
P( White ball on second draw)
= P( First is blue)*P(Second is white)+P( First is White)*P(Second is white)
= (3/5)*(2/5)+(2/5)*(2/5)
= 2/5
= 0.4
c) P( Second White/First White)
= 1/4
d) P( Second White/First White)
= 2/5