JEE Main & Advanced Mathematics Probability Question Bank

done Numerical Value Type Questions - Probability Total Questions - 15

• question_answer1)
  An unbiased coin is tossed n times. If the probability that head occurs 6 times is equal to the probability that head occurs 8 times, then find the value of n.
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• question_answer2)
  A problem in mathematics is given to three students A, B and C and their respective probability of solving the problem is 1/2, 1/3 and 1/4 then find the probability that the problem is solved.
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• question_answer3)
  A and B are two events where \[P(A)=0.25\] and \[P(B)=0.5\]. The probability of both happening together is 0.14. Then find the probability of both A and B not happening.
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• question_answer4)
  A coin is tossed n times. The probability of getting head at least once is greater than 0.8, then find the least value of n.
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• question_answer5)
  The probability that a man will live 10 more years, is 1/4 and the probability that his wife will live 10 more years, is 1/3. If the probability that none of them will be alive after 10 years, is\[\frac{k}{10}\]then find k.
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• question_answer6)
  If the probability of the occurrence of a multiple of 3 on one die, a multiple of 2 on the other die if both are thrown together is\[\frac{k}{11}\], then find k.
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• question_answer7)
  Seven white balls and three black balls are randomly placed in a row. If the probability that no two black balls are placed adjacently equals \[\frac{k}{\lambda }\] then find \[k+\lambda \].
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• question_answer8)
  In tossing 10 coins the probability of getting exactly 5 heads is\[\frac{63}{k}\]then find k.
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• question_answer9)
  Three cards are drawn from a pack of 52 cards. If the probability that they are of the same colour is\[\frac{k}{\lambda }\]then find\[\lambda -k\].
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• question_answer10)
  Two coins are tossed together. Then find the probability of getting two heads.
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• question_answer11)
  The probability that a bulb produced by a factory will fuse after 150 days if used is 0.05. If the probability that out of 5 such bulbs none will fuse after 150 days of use is\[{{\left( \frac{19}{k} \right)}^{5}}\]then find k.
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• question_answer12)
  In a throw of a dice the probability of getting one in even number of throw is\[\frac{\lambda }{11}\]then find\[\lambda \].
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• question_answer13)
  A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. If the odds against his winning this bet is \[\lambda :4\] then find \[\lambda \].
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• question_answer14)
  A pack of cards contains 4 aces, 4 kings, 4 queens and 4 jacks. Two cards are drawn at random from this pack without replacement. If the probability that at least one of them will be an ace, is \[\frac{\lambda }{k}\] then find \[\lambda +k\].
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• question_answer15)
  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 and the probability that B wins the game is\[\frac{k}{17}\]then find k.
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