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Probability Quiz-20

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. If P(B) = 3/4, P(A∩B∩ ̅C ) = 1/3 and P( ̅A∩B∩ ̅C ) = 1/3, then P(B∩C) is
•  1/12
•  1/6
•  1/15
•  1/9
Solution

Q2. If a ∈ [-20,0], then the probability that the graph of the function y = 16 x+ 8(a+5)x - 7a - 5 is strictly above the x-axis is
•  1/2
•  1/17
•  17/20
•  None of these
Solution

Q3. There is an objective type question with 4 answer choices exactly one of which is correct. A student has not studied the topic on which the question has been set. The probability that the student guesses the correct answer, is
• 1/2
•  1/4
•  1/8
•  None of these
Solution

Q4. Probability that a student will succeed in I.I.T. entrance test is 0.2 and that he will succeed in Roorkee entrance test is 0.5. If the probability that he will successful at both the places is 0.3, then the probability that he does not succeed at both the places is
•  0.4
•  0.3
•  0.2
•  0.6
Solution

Q5. Two persons A and B take turns in throwing a pair of dice. The first person to through 9 from both dice will be awarded the prize. If A throws first, then the probability that B wins the game, is
•  9/17
•  8/17
•  8/9
•  1/9
Solution

Q6. India plays two ODI matches each with Australia and Pakistan. The probability of India getting 0, 1, 2 are 0.45, 0.05, 0.50. The probability of India getting at least 7 points in the series is
•  0.00875
•  0.875
•  0.0875
•  None of these
Solution

Q7. Four positive integers are taken at random and are multiplied together. Then the probability that the product ends in an odd digit other than 5, is
•  609/625
•  16/625
•  2/5
•  3/5
Solution

Q8. Two persons each make a single throw with a pair of dice. The probability that the throws are unequal is given by:
•  1/63
•  1/63
•  51/63
•  None of these

Solution

Q9. If two dice are thrown together, then the probability that the sum of numbers appearing on them is 9, is
•  1/9
•  1/6
•  1/4
•  1/3
Solution

Q10. Let E1, E2 be two mutually exclusive events of an experiment with P(notE2) = 0.6 = P(E∪ E2). Then, P(E1) is equal to
•  0.1
•  0.3
•  0.4
•  0.2
Solution

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