`1/6`
`1/4`
`3/4`
`5/6`
`1 /(52)`
`1 /(13)`
`1 /4`
`1 /8`
`1/7`
`2/7`
`7/366`
`26/183`
`1/7`
`2/7`
`3/7`
None of these
`1/2`
`1/3`
`1/4`
`1/6`
`4/5`
`1/5`
`2/5`
`3/5`
`m/x * n/y`
`x/m - y/n`
`(m+n)/(x+y)`
`(x+y)/(m+n)`
`7//8`
`15//16`
`13//16`
`3//4`
` 5/(27)`
` 7/(18)`
`1/3`
None of these
`13/25`
`3/25`
`17/25`
`8/25`
`m(1+n) = 1`
`n(1+m) = 1`
`m = 1`
`m n = 1`
`1/8`
`1/4`
`1/2`
`3/4`
`1/2`
`1/3`
`1/4`
`3/4`
`2/9`
`7/9`
`5/(12)`
`7/(12)`
`5//54`
`12//25`
`1//20`
`5//9`
`1/5`
`2/5`
`3/5`
`4/5`
`1/5`
`2/5`
`3/5`
`4/5`
`0.56`
`0.54`
`0.38`
`0.94`
`2//3`
`3//8`
`2//7`
`5//7`
`4/(15)`
`8/(45)`
`1/3`
`2/9`
1 only
2 only
Both 1 and 2
Neither 1 nor 2
`1/6`
`1/4`
`1/3`
`5/12`
Only 1
Only 2
Both 1 and 2
Neither 1 nor 2
`1/24`
`1/4`
`3/4`
`23/24`
`0.98`
`0.91`
`0.70`
`0.49`
`1/1024`
`243/1024`
`1023/1024`
`781/1024`
`1/3`
`2/3`
`1/8`
`2/9`
`1/6`
`1/4`
`1/3`
`5/12`
1 only
2 only
Both 1 and 2
Neither 1 nor 2
`1/(12)`
`(11)/(12)`
`1/2`
`3/4`
mutually exclusive events but not elementary events
exhaustive events but not mutually exclusive events
mutually exclusive and exhaustive events
elementary and mutually exclusive events
`0.15`
`0.14`
`0.12`
`0.11`
Assertion : (A) The probability of drawing either an ace or a king from a deck of card in a single draw is `2/13`
Reason : (R) For two events `E_1` and `E_2` which are not mutually exclusive, the probability is given by `P(E_1+E_2) = P(E_1)+P(E_2)-P(E_1 nn E_2)`
`2/5 , 3/5`
`2/5, 1`
`1, 2/5`
Information is insufficient
`3/7`
`3/4`
`1/3`
`4/7`
`0.28`
`0.32`
`0.38`
None of these
`1/2`
`2/5`
`2/7`
`2/3`
`0.08`
`0.02`
`0.8`
`0.2`
(This question may have multiple correct answers)
`1/4`
`1/8`
`3/4`
`1/2`
`P(A cap bar(B)) = 0`
`P(A | B)= (P(A))/(P(B))`
`P(B | A)= (P(B))/(P(A))`
`P(A | (A cap bar(B)) = (P(A))/(P(B))`
`1/2`
`1/4`
`2/3`
`1/6`
` (17)/(18)`
` (53)/(54)`
` (103)/(108)`
` (215)/(216)`
`5/(24)`
`(13)/(24)`
`1/4`
`2/3`
`2/5`
`1/5`
`1/10`
None of these
`1//2`
`6//7`
`4//7`
`3//7`
`209/343`
`134/343`
`149/343`
`60/343`
`2/9`
`7/9`
`5/12`
`7/12`
`1//16`
`1//25`
`16//25`
`1//645`
`7//13`
`11//15`
`12//13`
`15//14`
`2/3`
`7/(48)`
`5/(42)`
` 5/(108)`
`2/7`
`3/7`
`4/7`
`5/7`
`5/54`
`12/25`
`1/20`
`5/9`
`1/6`
`1/3`
`1/2`
`2/3`
`1/13`
`2/13`
`3/13`
`1/52`
`1/2`
`3/8`
`1/4`
`1/8`
`11/12`
`23/24`
`1/24`
None of these
`4/5`
`1/5`
`1/10`
`9/10`
`1/2`
`3/(10)`
`2/5`
`3/5`
`1/(52)`
`3/(52)`
`(15)/(52)`
`(19)/(52)`
`1//5`
`7//13`
`5//13`
`7//10`
`1/5`
`1/4`
`1/3`
`1/2`
`5`
`6`
`7`
None of these
`2/3`
`1/3`
`1/4`
`2/5`
`99`
`102`
`103`
`104`
`1/(64)`
` 3/(16)`
`1/2`
`(13)/(16)`
`1/2 `
` 1/3`
`2/5`
`1/5`
`1/64`
`1/32`
`1/16`
`1/8`
`p = q = 1`
`p = q = 1/2`
` p = 0, q = 1`
infinitely many values of the pairs `(p, q)`
` 3/(16)`
` 5/(16)`
`1/2`
` 3/(32)`
`1/2`
`1/3`
`1/6`
`2/3`
`1/2`
`1/4`
`1/8`
`1/(16)`
`3/4`
`1/2`
`1/4`
`1/3`
`10`
`7`
`5`
`4`
`1//4`
`5//6`
`5//12`
`7//12`
`P(A cap B) <= P(A) <= P(A cup B) <= P(A) + P(B)`
`P(A cup B) <= P(A) <= P(A cap B) <= P(A) + P(B)`
`P(A cap B) <= P(B) <= P(A cap B) <= P(A) + P(B)`
`P(A cap B) <= P(B) <= P(A) + P( B) < = P(A cup B)`