Find the probability that when a hand of $7$ cards is drawn from a well shuffled deck of $52$ cards, it contains atleast $3$ Kings.
Find the probability that when a hand of $7$ cards is drawn from a well shuffled deck of $52$ cards, it contains atleast $3$ Kings.
Total number of possible hands $=^{52} C _{7}$
$P ($ atleast $3$ King $)= P (3 $ Kings or $4$ Kings $) $
$= P (3$ Kings $)+ P (4 $ Kings $)$
$=\frac{9}{1547}+\frac{1}{7735}=\frac{46}{7735}$
Similar Questions
Three integers are chosen at random from the first $20$ integers. The probability that their product is even, is
Three integers are chosen at random from the first $20$ integers. The probability that their product is even, is
A lot consists of $12$ good pencils, $6$ with minor defects and $2$ with major defects. A pencil is choosen at random. The probability that this pencil is not defective is
A lot consists of $12$ good pencils, $6$ with minor defects and $2$ with major defects. A pencil is choosen at random. The probability that this pencil is not defective is
If $4 \,-$ digit numbers greater than $5,000$ are randomly formed from the digits $0,\,1,\,3,\,5,$ and $7,$ what is the probability of forming a number divisible by $5$ when, the digits are repeated ?
If $4 \,-$ digit numbers greater than $5,000$ are randomly formed from the digits $0,\,1,\,3,\,5,$ and $7,$ what is the probability of forming a number divisible by $5$ when, the digits are repeated ?
The probability, that in a randomly selected $3-$digit number at least two digits are odd, is
The probability, that in a randomly selected $3-$digit number at least two digits are odd, is
- [JEE MAIN 2022]
Out of $40$ consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is
Out of $40$ consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is