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Probability Quiz-7

Dear Readers,

Probability is an important topic in JEE advanced examination. In this exam, probability carries weightage of 7% of questions. With focused practice good marks can be fetched from this topic .

Q1. Four numbers are multiplied together. Then, the probability that the product will be divisible by 5 or 10 is:
  •  369/625
  •  399/625
  •  123/625
  •  133/625
Solution

Q2.One Indian and four American men and their wifes are to be seated randomly around a circular table. Then the conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his wife, is:
  •  1/2
  •  1/3
  •  2/5
  •  1/5
Solution

Q3.  If p is the probability that a man aged x will die in a year, then the probability that out of n men A1,A2,…An each aged x,A1 will die in an year and be the first to die is:
  •  1-(1-p)n
  •  (1-p)n
  •  1/n[1-(1-p)n]
  •  1/n(1-p)n
Solution

Q4. A hat contains a number of cards with 30% white on both sides, 50% black on one side and white on the other side, 20% black on both sides. The cards are mixed up, and a single card is drawn at random and placed on the table. Its upper side shows up black. The probability that its other side is also black is:
  •  2/9
  •  4/9
  •  2/3
  •  2/7
Solution

Q5. A pair of four dice is thrown independently three times. The probability of getting a score of exactly 9 twice is:
  •  8/9
  •  8/729
  •  8/243
  •  1/729
Solution

Q6. The numbers 1,2,3,…n are arrange in random order. The probability that the digits 1,2,3,…,k(k<n) appears as neighbours in that order is:
  •  1/n!
  •  k!/n!
  • (n-k)!n!
  •  (n-k+1)!n!
Solution

Q7. A and B toss a fair coin each simultaneously 50 times. The probability that both of them will not get tail at the same toss is:
  •  (3/4)50
  •  (2/7)50
  •  (1/8)50
  •  (7/8)50
Solution

Q8. A fair coin is tossed 5 times, then the probability that no two consecutive heads occur is:
  •  11/32
  •  15/32
  •  13/32
  •  None of these
Solution

Q9. Three ships A,B and C sail from England to India. If the ratio of their arriving safely are 2:5, 3:7 and 6:11, respectively, then the probability of all the ships for arriving safely is:
  •  18/595
  •  6/17
  •  3/10
  •  2/7
Solution

Q10. A drawer contains 5 brown socks and 4 blue socks well mixed. A man reaches the drawer and pulls out socks at random. What is the probability that they match?:
  •  4/9
  •  5/8
  •  5/9
  • 7/12
Solution

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