## Probability Quiz-16

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. The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target at least three times is
•  291/364
•  371/464
•  471/502
•  459/512
Solution

Q2. A five digit number is formed by writing the digits 1, 2, 3, 4, 5, in a random order without repetitions. Then the probability that the number is divisible by 4, is
•  3/5
•  18/5
•  1/5
•  6/5
Solution

Q3. If the mean and standard deviation of a binomial distribution are 12 and 2 respectively, then value of its parameter p is
• 1/2
•  1/3
•  2/3
•  1/4
Solution

Q4. India plays a two ODI matches each with Australia and Pakistan. The probability of India getting points 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

Q5. At a telephone enquiry system the number of phone calls regarding relevant enquiry follow Poisson distribution with an average of 5 phone calls during 10 min time intervals. The probability that there is at the most one phone cell during a 10 min time period, is
•  5/6
•  6/55
•  6/e5
•  6/5e
Solution

Q6. Among 15 players, 8 are batsman and 7 are bowlers. The probability that a team is chosen of 6 batsman and 5 bowlers, is
•  (8C6 × 7C5)/15C11
•  (8C6 + 7 C5)/15C11
•  15/28
•  None of these
Solution

Q7. From a pack of cards two are accidently dropped. Probability that they are of opposite shade is
•  13/51
•  1/(52×51)
•  26/51
•  None of these

Solution

Q8. Given that X is discrete random variable which takes the values 0,1,2 and P(X = 0) = 144/169, P(X = 1) = 1/169, then the value of P(X = 2) is
•  145/169
•  24/169
•  2/169
•  143/169

Solution

Q9. In a binomial distribution, mean is 3 and standard deviation is 3/2, then the probability distribution is
•  (3/4+1/4)12
•  (1/4+3/4)12
•  (1/4+3/4)9
•  (3/4+1/4)9
Solution

Q10. The probability that a leap year will have 53 Fridays or 53 Saturdays, is
•  2/7
•  3/7
•  4/7
•  1/7
Solution

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Probability Quiz-16