Question

From a pack of 52 playing cards Jacks, queens, kings and aces of red colour

are removed. From the remaining, a card is drawn at random. Find the

probability that the card drawn is

(i) a black queen

(ii) a red card

(iii) an ace​

Answer 1

answer is - a black queen

Answer 2

Step-by-step explanation:

Total no. of cards in a pack =52

After removing red-colored - jack, queen, king, and aces,

No. of cards =52−8=44 and

No. of red cards =26−8=18.

Solution(i):

No. of black queens =2

2

Therefore, C

1 44

( Selecting 1 out of 2 items) times out of C

. 1

( Selecting 1 out of 44 items) a black queen is picked.

Let E be the event of getting a black queen from pack

We know that, Probability P(E) =

(No.of favorable outcomes)/ (Total no.of possible outcomes)

2 44

= C / C

1 1

= 2/44

= 1/22

Solution(ii):

No. of red cards =18

Therefore,

18

C

1

( Selecting 1 out of 18 items) times out of

44

C

1

( Selecting 1 out of 44 items) a red card is picked.

Let E be the event of getting a red card from the pack

We know that, Probability P(E) =

(No.of favorable outcomes)/

(Total no.of possible outcomes)

18 44

= C / C

1 1

= 18/44

=9/22