There are 10 pairs of shoes in a cupboard from which 4 shoes are picked at random. The probability that there is at least one pair, is

There are 10 pairs of shoes in a cupboard from which 4 shoes are picke

1.	There are 10 pairs of shoes in a cupboard from which 4 shoes are picked at random. The probability that there is at least one pair, is
A.	\[\frac{99}{323}\]
B.	\[\frac{224}{323}\]
C.	\[\frac{100}{323}\]
D.	None of these
Answer» B. \[\frac{224}{323}\]

Discussion

No Comment Found

Related MCQs

The probabilities of a student getting I, II and III division in an examination are respectively \[\frac{1}{10},\,\frac{3}{5}\] and \[\frac{1}{4}.\] The probability that the student fails in the examination is [MP PET 1997]
If A and B are two events such that \[A\subseteq B,\] then \[P\,\left( \frac{B}{A} \right)=\]
If \[4\,P(A)=6\,P\,(B)=10\,P\,(A\cap B)=1,\] then \[P\,\left( \frac{B}{A} \right)=\] [MP PET 2003]
A man make attempts to hit the target. The probability of hitting the target is \[\frac{3}{5}.\] Then the probability that A hit the target exactly 2 times in 5 attempts, is
Let A, B, C be three mutually independent events. Consider the two statements \[{{S}_{1}}\]and \[{{S}_{2}}\] \[{{S}_{1}}\,\,:\,\,A\] and \[B\cup C\] are independent \[{{S}_{2}}\,\,:\,\,A\] and \[B\cap C\] are independent Then [IIT 1994]
If\[P\,({{A}_{1}}\cup {{A}_{2}})=1-P(A_{1}^{c})\,P(A_{2}^{c})\] where c stands for complement, then the events \[{{A}_{1}}\] and \[{{A}_{2}}\] are [MP PET 1989]
A bag contains 3 black and 4 white balls. Two balls are drawn one by one at random without replacement. The probability that the second drawn ball is white, is [MP PET 1995]
Seven chits are numbered 1 to 7. Three are drawn one by one with replacement. The probability that the least number on any selected chit is 5, is [EAMCET 1991]
From a book containing 100 pages, one page is selected randomly. The probability that the sum of the digits of the page number of the selected page is 11, is
A box contains 3 white and 2 red balls. A ball is drawn and another ball is drawn without replacing first ball, then the probability of second ball to be red is[Roorkee 1995]

There are 10 pairs of shoes in a cupboard from which 4 shoes are picked at random. The probability that there is at least one pair, is

Discussion

No Comment Found

Related MCQs

Reply to Comment