Probability (Class 12)

JEE Main 2024 (Online) 29th January Morning ShiftMCQEasy📈 Topic in 7% papers+4−1

Ques. 1JEE Main 2024, 29 January (Morning Shift)

A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number of throws, is

Answer

(1) 511

Solution

In each throw: P(2)= 16, P(not 2)= 56 (throws independent)

2 appears first in the 2nd, 4th, 6th, … throw:

P= 56 16+ ( 56 )3 16+ ( 56 )5 16+

Infinite G.P. with first term 536, ratio 2536:

P= 5/361-25/36= 511

Answer: (1)

Keep practising — Probability (Class 12)

Ques. 2JEE Main 2024, 27 January (Morning Shift)

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required and let a=P(X=3), b=P(X 3) and c=P(X 6 X>3). Then b+ca is equal to .

Ques. 3JEE Main 2024, 27 January (Evening Shift)

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 :

3256
5256
3715
5715

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