Two cards are drawn from a well-shuffled pack of cards.find the probability that both are kings.

Text Solution

Solution : Two cards are drawn from a well shuffled deck of cards. <br> `n(S)=(52_(C_2))` <br> A be the event of getting black cards <br> `n(A)=(26_(C_2) ) `<br> `P(A)=(26_(C_2) /(52_(C_2)))`<br> `=(26×25)/(52×51)`<br> B be the event of getting both king cards<br> `P(B)=(2_(C_2)/(52_(C_2)))=(4×3)/(52×51) `<br> Also, `P(A∩B)=(2_(C_2)/(52_(C_2)))` <br> `=(2×1)/(52×51 )`<br> Now, `P(A∪B)=P(A)+P(B)−P(A∩B)` <br> `=(26×25)/(52×51)+(4×3)/(52×51)−2/(52×51)` <br> `= (660)/(52×51)=(55)/(221)`