Question

a box contains 4 nlack 3 white and 7 red cards. A card is drawn random, what is the probability that card drawn is a
a red card
b red or white card​

Answer 1

Answer:

a) 50%

b) 80%

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Answer 2

otal no. of cards in pack =52

After removing red face cards - king, queen, and jack

No. of cards =52−6=46

Solution(i):

No. of red cards after red face cards drawn=26−6=20

Therefore,

20

C

1

( Selecting 1 out of 20 items) times out of

46

C

1

( Selecting 1 out of 46 items) a red card is picked.

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

We know that, Probability P(E) =

(Total no.of possible outcomes)

(No.of favorable outcomes)

=

46

C

1

20

C

1

=

46

20

=

23

10

Solution(ii):

No. of face cards =6

Therefore,

6

C

1

( Selecting 1 out of 6 items) times out of

46

C

1

( Selecting 1 out of 46 items) a face is picked.

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

We know that, Probability P(E) =

(Total no.of possible outcomes)

(No.of favorable outcomes)

=

46

C

1

6

C

1

=

46

6

=

23

3

Solution(iii):

No. of club card =13

Therefore,

13

C

1

( Selecting 1 out of 13 items) times out of

46

C

1

( Selecting 1 out of 46 items) a club card is picked.

Let E be the event of getting a club from the pack

We know that, Probability P(E) =

(Total no.of possible outcomes)

(No.of favorable outcomes)

=

46

C

1

13

C

1

=

46

13

Answer By

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Toppr

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