NCERT Class 11 Mathematics Solutions: Chapter 16 –Probability Miscellaneous Exercise Part 1
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Theoretical Probability
1. A box contains red marbles, blue marbles and green marbles. Marbles are drawn from the box, what is the probability that
(i) all will be blue?
(ii) at least one will be green?
Answer:
Total number of marbles
Number of ways of drawing marbles from marbles
Answer: (i)
All the drawn marbles will be blue if we draw marbles out of blue marbles.
5 blue marbles can be drawn from blue marbles in ways.
Probability that all marbles will be blue
Answer: (ii)
Number of ways in which the drawn marble is not green
Probability that no marble is green
Probability that at least one marble is green
2. cards are drawn from a well-shuffled deck of cards. What is the probability of obtaining diamonds and one spade?
Answer:
Number of ways of drawing cards from cards
In a deck of cards, there are diamonds and spades.
Number of ways of drawing diamonds and one spade
The probability of obtaining diamonds and one spade
3. A die has two faces each with number , three faces each with number and one face with number . If die is rolled once, determine
(i)
(ii)
(iii)
Answer:
Total number of faces
Answer: (i)
Number faces with number
Answer: (ii)
Answer: (iii)
Number of faces with number
So,