Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2019
Exam
BITSAT
Year
2019
Subject
Mathematics
Chapter
Probability

BITSAT 2019 · Mathematics · Probability

Cards are drawn one by one at random from a well shuffled pack of...

Cards are drawn one by one at random from a well shuffled pack of 5252 cards until 22 aces are obtained for the first time. The probability that 1818 draws are required for this is

Options

  1. A334\dfrac{3}{34}
  2. B17455\dfrac{17}{455}
  3. C56115925\dfrac{561}{15925}
  4. DNone of these

Correct answer

C. 56115925\dfrac{561}{15925}

Step-by-step solution

1818 draws are required for 22 aces means in the first 1717 draws, there is one ace and 1616 non-ace and 18th{18}^{th} draw 2nd{2}^{nd} ace.

Required probability =C1648×C14C1752×335=56115925= \dfrac{C16 48 \times C1 4}{C17 52} \times \dfrac{3}{35} = \dfrac{561}{15925}

Practice Probability on Quantrex Academy →

More from Probability

The probability of getting 10 in a single throw of three fair dice is BITSAT 2024In a binomial distribution, the mean is 4 and variance is 3. Then, its mode is BITSAT 2024The probability that certain electronic component fails when first used is 0.10. If it… BITSAT 2024Given below is the distribution of a random variable X If α=P(X 2) , then α: β= BITSAT 2024A book contains 1000 pages. A page is chosen at random. The probability that the sum of… BITSAT 2024For two events A and B , if P(A)=P( A B )=(1)/(4) and P((B)/(A))=(1)/(2) , then which of… BITSAT 2024If A and B are mutually exclusive events and if P(B)=(1)/(3), P(A B)=(13)/(21) , then… BITSAT 2023A coin is tossed twice. Then, the probability that atleast one tail occurs is BITSAT 2023If E and F are events such that 0 < P(F) < 1 , then BITSAT 2023The probability of getting sum more than 7 when a pair of dice are thrown is: BITSAT 2023The probability that a card drawn from a pack of 52 cards will be a diamond or king is: BITSAT 2023Bag P contains 6 red and 4 blue balls and bag Q contains 5 red and 6 blue balls. A ball… BITSAT 2023If P(B)=(3)/(5), P(A B)=(1)/(2) and P(A B)=(4)/(5) , then P(A B)^ +P(A^ B)= BITSAT 2023A six faced die is a biased one. It is thrice more likely to show an odd numbers than… BITSAT 2022Girl students constitute 10 \% of I year and 5 \% of II year at Roorkee University.… BITSAT 2021The mean and variance of a random variable X having binomial distribution are 4 and 2… BITSAT 2021 Full Probability list Probability JEE Maths PYQsJEE Mathematics PYQs All BITSAT PYQs