Question

if two cards are drawn from a pack of 52 cards then the prbability of getting both red or both kings is​

Answer 1

Step-by-step explanation:

Clearly,

n (S) = n (S)=

52C2=

(52×51)2

= 1326

Let E1

= event of getting both red cards

E2

= event of getting both kings

Then, E1

∩

E2

= event of getting 2 kings of red cards.

∴ n (E1)=26C2=(26×25)(2×1)

= 325 and

n (E2)=4C2=(4×3)(2×1)

= 6

n(E1∩E2)=2C2=1

∴P(E1)=n(E1)n(S)=3251326

and

P(E2)=n(E2)n(S)=61326

P(E1∪E2)=11326

∴ P (both red or both kings)

=P(E1∪E2)=P(E1)+P(E2)−P(E1∪E2)=(3251/326+6/1326−11326)=330/1326=55/221