Probability (Class 12)

JEE Main 2025 (Online) 22nd January Morning ShiftMCQEasy📈 Topic in 8% papers+4−1

Ques. 1JEE Main 2025, 22 January (Morning Shift)

Two balls are selected at random one by one without replacement from a bag containing 4 white and 6 black balls. If the probability that the first selected ball is black, given that the second selected ball is also black, is mn, where (m,n)=1, then m+n is equal to :

Answer

(2) 14

Solution

B1, B2: first, second ball black; P(B1 B2)= P(B1 B2)P(B2).

P(B1 B2)= 610 59= 13

P(B2)= 610 59+ 410 69= 35

P(B1 B2)= 1/33/5= 59 m+n=14

Answer: (2)

Keep practising — Probability (Class 12)

Ques. 2JEE Main 2025, 22 January (Evening Shift)

If A and B are two events such that P(A B)=0.1, and P(A B) and P(B A) are the roots of the equation 12x2-7x+1=0, then the value of P( A B)P( A B) is :

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