If $\mathrm{P}\left(\mathrm{A}\right)=\frac{1}{ 3 }, \mathrm{P}\left(\mathrm{B}\right)=\frac{3}{ 4 } \mathrm{and} \mathrm{P}(\mathrm{A}\cap \mathrm{B})=\frac{11}{ 12 }.$ . Then $\mathrm{P}(\mathrm{A}/\mathrm{B})=$ _______.

Person A hit the target in 3 out of 4 shots. Also, person B hit the target in 2 out of 3 shots. What is Proability that the target will be hit?

If $\mathrm{P}\left(\mathrm{A}\right)=\frac{1}{ 3 }, \mathrm{P}(\mathrm{B}\text{'})=\frac{1}{ 4 }, \mathrm{P}(\mathrm{A}\cap \mathrm{B})=\frac{1}{ 6 }, \mathrm{then} \mathrm{P}(\mathrm{A}\text{'}/\mathrm{B}\text{'})=$ _______.

If $\mathrm{P}\left(\mathrm{A}\right)=\frac{1}{ 3 }, \mathrm{P}\left(\mathrm{B}\right)=\frac{1}{ 4 }, \mathrm{P}(\mathrm{A}\cup \mathrm{B})=\frac{1 }{ 2 }, \mathrm{then} \mathrm{P}(\mathrm{A}/\mathrm{B}\text{'})=$ _______.

Two integers are selected at random from 1 to 11. If the sum is even, find Probability that both the integers are odd.

For two independent events $\mathrm{A} \mathrm{and} \mathrm{B}, \mathrm{if} \mathrm{P}\left(\mathrm{A}\right)=0.3, \mathrm{P}(\mathrm{A}\cup \mathrm{B})=0.6, \mathrm{then} \mathrm{P}\left(\mathrm{B}\right)=$ _______. 

Consider two boxes, first with 5-green & 2-pink and second with 4-green & 3-pink balls. Two balls are selected from random box. If both balls are pink, find the probability that they are from second box.

Three hospitals contain 10%, 20% and 30% of diabetes patients. A Patient is selected at random who is diabetes patient. Determine the probability that this patient comes from first hospital.

There are two boxes A and B containing 4 white, 3 red and 3 white, 7 red balls respectively. A box is chosen at random and a ball is drawn from it, if the ball is white, find the probability that it is from box A. 

A card from a pack of 52 cards is lost. From the remaining cards of pack, two cards are drawn and are found to be hearts. Find the probability of the missing card to be a heart.