Probability

JEE Main 2024 (Online) 30th January Morning ShiftMCQEasy📈 Topic in 36% papers+4−1

Ques. 1JEE Main 2024, 30 January (Morning Shift)

Two integers x and y are chosen with replacement from the set \0,1,2,3, ,10\. Then the probability that |x-y|>5, is :

Answer

(4) 30121

Total ordered pairs =11 11=121

|x-y|>5 |x-y| 6

x>y: x-y=6,7,8,9,10 gives 5+4+3+2+1=15 pairs (e.g. x-y=6: (6,0), ,(10,4))

y>x: another 15 pairs (by symmetry) ⇒ favourable =30

P= 30121

Answer: (4)

Ques. 2JEE Main 2024, 29 January (Evening Shift)

An integer is chosen at random from the integers 1,2,3, ,50. The probability that the chosen integer is a multiple of at least one of 4, 6 and 7 is

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