jee-main 2024 Q80

jee-main · India · session1_27jan_shift2 Probability Definitions Conditional Probability and Bayes' Theorem
An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made without replacement. The probability, that the first draw gives all white balls and the second draw gives all black balls, is :
(1) $\frac { 5 } { 256 }$
(2) $\frac { 5 } { 715 }$
(3) $\frac { 3 } { 715 }$
(4) $\frac { 3 } { 256 }$
An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made without replacement. The probability, that the first draw gives all white balls and the second draw gives all black balls, is :\\
(1) $\frac { 5 } { 256 }$\\
(2) $\frac { 5 } { 715 }$\\
(3) $\frac { 3 } { 715 }$\\
(4) $\frac { 3 } { 256 }$