Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number?
Let A be the event ‘the number on the card drawn is even’ and B be the event ‘the number on the card drawn is greater than 3’.
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In a school, there are 1000 students, out of which 430 are girls. It is known that out of 430, 10% of the girls study in class XII. What is the probability that a student chosen randomly studies in Class XII given that the chosen student is a girl?
Let E denote the event that a student chosen randomly studies in class XII and F be the event that the randomly chosen student is a girl. Total number of students = 1000 Number of girls = 430 Number of girls studying in class XII = Now, P(F) = and
A and B are two events such that P(A) ≠ 0. Find P (B|A), if (i) A is a subset of B (ii) A ∩ B = ϕ
(i) Since A is a subset of B ...(1) Now
(ii)
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12 cards, numbered 1 to 12, are placed in a box, mixed up thoroughly and then a card is drawn at random from the box. If it is known that the number on the drawn card is more than 3, find the probability that it is an even number.
Let A be the event ‘the number on the card drawn is even’ and B be the event ‘the number on the card is greater than 3’. and
and 
...(1)
.
...(1)
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