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Example 8 A coin is tossed three times, consider the following events. A: ‘No head appears’, B: ‘Exactly one head appears’ and C: ‘Atleast two heads appear’. Do they form a set of mutually exclusive and exhaustive events?
05
Nov
Example 8 A coin is tossed three times, consider the following events. A: ‘No head appears’, B: ‘Exactly one head appears’ and C: ‘Atleast two heads appear’. Do they form a set of mutually exclusive and exhaustive events? B: ‘Exactly one head appears’ and C: ‘Atleast two heads appear’. Do they form a set of [...]
Example 7 Two dice are thrown and the sum of the numbers which come up on the dice is noted. Let us consider the following events associated with this experiment A: ‘the sum is even’. B: ‘the sum is a multiple of 3’. C: ‘the sum is less than 4’. D: ‘the sum is greater than 11’. Which pairs of these events are mutually exclusive?
05
Nov
Example 7 Two dice are thrown and the sum of the numbers which come up on the dice is noted. Let us consider the following events associated with this experiment A: ‘the sum is even’. B: ‘the sum is a multiple of 3’. C: ‘the sum is less than 4’. D: ‘the sum is greater [...]
Example 6 Consider the experiment of rolling a die. Let A be the event ‘getting a prime number’, B be the event ‘getting an odd number’. Write the sets representing the events (i) A or B (ii) A and B (iii) A but not B (iv) ‘not A’.
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Nov
Example 6 Consider the experiment of rolling a die. Let A be the event ‘getting a prime number’, B be the event ‘getting an odd number’. Write the sets representing the events (i) A or B (ii) A and B (iii) A but not B (iv) ‘not A’. B be the event ‘getting an odd [...]
Example 4 A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls; if it shows tail we throw a die. Describe the sample space of this experiment.
05
Nov
Example 4 A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls; if it shows tail we throw a die. Describe the sample space of this experiment. Example 4 A coin is tossed. If it shows head we draw a ball from [...]
Example 3 In each of the following experiments specify appropriate sample space (i) A boy has a 1 rupee coin, a 2 rupee coin and a 5 rupee coin in his pocket. He takes out two coins out of his pocket, one after the other. (ii) A person is noting down the number of accidents along a busy highway during a year.
05
Nov
Example 3 In each of the following experiments specify appropriate sample space (i) A boy has a 1 rupee coin, a 2 rupee coin and a 5 rupee coin in his pocket. He takes out two coins out of his pocket, one after the other. (ii) A person is noting down the number of accidents [...]
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a 2 rupee coin and a 5 rupee coin in his pocket. He takes out two coins out of his pocket ,
Example 3 In each of the following experiments specify appropriate sample space (i) A boy has a 1 rupee coin ,
one after the other. (ii) A person is noting down the number of accidents along a busy highway during a year. ,
Example 2 Find the sample space associated with the experiment of rolling a pair of dice (one is blue and the other red) once. Also, find the number of elements of this sample space.
05
Nov
Example 2 Find the sample space associated with the experiment of rolling a pair of dice (one is blue and the other red) once. Also, find the number of elements of this sample space. Example 2 Find the sample space associated with the experiment of rolling a pair of dice (one is blue and the [...]
Example 1 Two coins (a one rupee coin and a two rupee coin) are tossed once. Find a sample space.
05
Nov
Example 1 Two coins (a one rupee coin and a two rupee coin) are tossed once. Find a sample space. Example 1 Two coins (a one rupee coin and a two rupee coin) are tossed once. Find a sample space. November 5, 2021 Category: Chapter 16 - Probability , Maths , NCERT Exemplar Class 11 [...]
21. In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that (i) The student opted for NCC or NSS. (ii) The student has opted neither NCC nor NSS. (iii) The student has opted NSS but not NCC.
05
Nov
21. In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that (i) The student opted for NCC or NSS. (ii) The student has opted neither NCC nor NSS. (iii) The [...]
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21. In a class of 60 students ,
30 opted for NCC ,
32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random ,
find the probability that (i) The student opted for NCC or NSS. (ii) The student has opted neither NCC nor NSS. (iii) The student has opted NSS but not NCC. ,
20. The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English examination is 0.75, what is the probability of passing the Hindi examination?
05
Nov
20. The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English examination is 0.75, what is the probability of passing the Hindi examination? 16. A die is thrown repeatedly untill a six comes [...]
19. In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing atleast one of them is 0.95. What is the probability of passing both?
05
Nov
19. In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing atleast one of them is 0.95. What is the probability of passing both? 16. [...]