Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2023Paper 1
Exam
BITSAT
Year
2023
Paper
Paper 1
Subject
Mathematics
Chapter
Probability

BITSAT 2023 · Paper 1 · Mathematics · Probability

The probability that a card drawn from a pack of 52 cards will be a...

The probability that a card drawn from a pack of 52 cards will be a diamond or king is:

Options

  1. A152\frac{1}{52}
  2. B213\frac{2}{13}
  3. C413\frac{4}{13}
  4. D113\frac{1}{13}

Correct answer

C. 413\frac{4}{13}

Step-by-step solution

Total no. of cards =52=52
13 cards are diamonds and 4 cards are king.
There is only one card which is a king of diamond.
∴P(\therefore \mathrm{P}( card is diamond )=1352,P)=\frac{13}{52}, \mathrm{P} (card is king)
=452=\frac{4}{52}
P(\mathrm{P}( card is king of diamond )=152)=\frac{1}{52}
∴P\therefore \quad P (card is diamond or king)
=1352+452−152=1652=413=\frac{13}{52}+\frac{4}{52}-\frac{1}{52}=\frac{16}{52}=\frac{4}{13}
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 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 2021The probability that certain electronic component fails when first used is 0.10. If it… BITSAT 2020 Full Probability list Probability JEE Maths PYQsJEE Mathematics PYQs All BITSAT PYQs