CBSE Class 11 Probability Worksheet D

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1. A box contains 1 white and 3 identical black balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.

2. Three coins are tossed once. Find the probability at most two heads. 

3. One card is drawn from a pack of 52 cards, find the probability that drawn card is either red or king.

 4. Five cards are drawn from a well shuffled pack of 52 cards. Find the probability that all the five cards are hearts.

5. From a deck of 52 cards four cards are accidently dropped. Find the chance that the missing cards should be one from each other.

6. In a class of 60 students 30 opted for NCC, 32 opted for NSS, 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.

7. Two students Anil and Ashima appeared in an examination. The probability That Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. the probability that both will qualify the examination is

0.02 find the probability that

(a). Both Anil and Ashima will qualify the examination

(b). At least one of them will not qualify the examination and

(c). Only one of them will qualify the examination.

8. Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among the 100 students what is the probability that

(a) You both enter the same section?

(b) You both enter the different section?

9. There are three mutually exclusive and exhaustive events E₁,E₂ , and E₃ . The odds are 8 : 3 against E₁ and 2 : 5 in favors of E ₂ fined the odd against E₃ .

10. If 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 at least one of them is 0.95. What is the probability of passing both?

Click on link below to download CBSE Class 11 Probability Worksheet D.