Probability Quiz-14

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.  Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced..

Q1. A and B are two events. Odds against A are 2 to 1 and odds in favour of A∪B are 3 to 1. If x  ≤  P(B)  ≤  y, then ordered pair (x, y)is
•  (5/12,3/4)
•  (2/3,3/4)
•  (1/3,3/4)
•  None of these
Solution

Q2. Two dice are thrown n times in succession. The probability of obtaining a double six at least once is
•  (1/36)n
•  1-(35/36)n
•  (1/12)n
•  None of these
Solution

Q3. A fair die is tossed eight times. The probability that a third six is observed on the eight throw, is
• (7C2 × 55)/67
•  (7C2 × 55)/68
•  (7C2 × 55)/66
•  None of these
Solution

Q4. A and B are two independent events such that P(A∪B')=0.8 and P(A)=0.3. Then, P(B) is
•  2/7
•  2/3
•  3/8
•  1/8
Solution

Q5. The probability that a man will hit a target in shooting practice is 0.3. If he shoots 10 times, the probability that he hits the target
•  1
•  1-(0.7)10
•  (0.7)10
•  (0.3)10
Solution

Q6. Two friends A and B have equal number of daughters. There are three cinema tickets which are to be distributed among the daughters of A and B. The probability that all the tickets got to daughters of A is 1/20. The number of daughters each of them have is
•  4
•  5
•  6
•  3
Solution

Q7. A random variable has the following probability distribution.
x   : 0   1    2      3     4     5       6       7
p(x) : 0  2 p  2 p  3 p   p2  2 p2  7 p2   2 p  the value of p, is
•  1/10
•  -1
•  -1/10
•  None of these

Solution

Q8. If from each of three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one ball is drawn at random, then the probability that 2 white and 1 black ball will be drawn, is
•  13/32
•  1/4
•  1/32
•  3/16

Solution

Q9. A die is thrown. If it shows a six, we draw a ball from a bag consisting 2 black balls and 6 white balls. If it does not show a six, then we toss a coin. Then, the sample space of this experiment consists of
•  13 points
•  18 points
•  10 points
•  None of these
Solution

Q10. Three numbers are chosen from 1 to 30. The probability that they are not consecutive is
•  1/4
•  1/3
•  5/7
•  2/3
Solution

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