Question

red Queens and black Jack saree removed from a pack of 52 playing cards find the probability that the card drawn from the remaining cards is i)a card of red colour is) neither a jack nor a king iii) either a king or a queen iv) a black king


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Answer 1

Answer:

No. of red colors =26−2=24......(2 red queen cards already drawn)

Therefore,

24

C

1

( Selecting 1 out of 24 items) times out of

48

C

1

( Selecting 1 out of 48 items) a red is picked.

Let E be the event of getting red from the pack

We know that, Probability P(E) =

(Total no.of possible outcomes)

(No.of favorable outcomes)

=

48

C

1

24

C

1

=

48

24

=

1/2

total no of cards in a deck=52

no of red queens in a deck =2

no of black jacks=2

if they are removed from a deck then the remaining cards=52-4=48

probability of getting a king is 1/12

probability of getting a card of red colour =11/48

probability of getting a face card=8/48=2/12

probability of getting a queen=2/48=1/24