Card are drawn one by one at random from a well-shuffled full pack of 52 playing cards until 2 a...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=U4FKnAhSKIM



Duration: 9:15
0 views
0


Card are drawn one by one at random from a well-shuffled full pack of 52 playing cards until 2 aces obtained for the first time. If \( N \) is the number of cards required to be drawn, then show that
\[
P_{r}\{N=n\}=\frac{(n-1)(52-n)(51-n)}{50 \times 49 \times 17 \times 13} \text { where } 2 \leq n \leq 50 \text { : }
\]
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-09The work function of silver is \( 5.26 \times 10^{-19} \mathrm{~J} \). Calculate its threshold w...
2023-06-09When ultraviolet light of energy \( 6.2 \mathrm{eV} \) incidents on a aluminimum surface, it emi...
2023-06-09Let \( E, F \) and \( G \) be three events having probabilities \( P(E)= \) \( 1 / 8, P(F)=1 / 6...
2023-06-09Light of wavelength \( 4000 \AA \) is incident on a metal whose work function is \( 2 \mathrm{eV...
2023-06-09A radio station is transmitting waves of wavelength \( 300 \mathrm{~m} \). If radiating power of...
2023-06-09A polychromatic light is used in an experiment on photoelectric effect. The stopping potential (...
2023-06-09The photoelectrons emitted from a metal surface (a) Are all at rest (b) Have the same kinetic en...
2023-06-09Suppose that Box- \( I \) contains 8 red, 3 bule and 5 green balls, Box- \( I I \) contains 24 r...
2023-06-09A number is chosen at random from the set \( \{1,2,3 \ldots \ldots \) \( 2000\} \). Let \( p \) ...
2023-06-09The time taken by a photoelectron to come out after the photon strikes is approximately (a) \( 1...
2023-06-09Card are drawn one by one at random from a well-shuffled full pack of 52 playing cards until 2 a...
2023-06-09Comprehension Three numbers are chosen at random, one after another with replacement, from the s...
2023-06-09If a point \( A(x, y) \) lies in the region bounded by the \( y \)-axis, straight lines \( 2 y+x...
2023-06-09A student appears for tests \( I, I I \) and \( I I I \). The student is successful if he passes...
2023-06-09Comprehension Three numbers are chosen at random, one after another with replacement, from the s...
2023-06-09A random variable \( X \) follows the Binomial distribution \( B \) \( (33, p) \) such that \( 3...
2023-06-09(i) Players \( A \) and \( B \) alternately toss a biased coin, with \( A \) going first. \( A \...
2023-06-09Five number \( x_{1}, x_{2}, x_{3}, x_{4}, x_{5} \) are randomly selected from the number \( 1,2...
2023-06-09A player tosses an unbiased coin and is to score two points for every head turned up and one poi...
2023-06-09Bag \( I \) contains 3 red, 4 black and 3 white balls and Bag \( I I \) contains 2 red, 5 black ...
2023-06-09Out of \( 60 \% \) female and \( 40 \% \) male candidates appearing in an exam, \( 60 \% \) cand...