Pl work out my problems

Foundation / CPT 1145 views 2 replies

1. a card is drawn at random from a well shuffled pack of 52 cards.find the probability of getting a two of heart or a diamond.

2. a card is selected at random from each of two well shuffled pack of 52 cards.the probability that both are king is

a).2/26                                                                                                                                                            b).16/169

c).2/13                                                                                                                                                             d).none

3.a card is selected at random from each of two well shuffled pack of 52 cards.the probability  that at least one of them king is

a).3/13                                                                                                                                                              b).25/169

c).2/169                                                                                                                                                            d).none

4. a card is drawn from a pack of 52 card,the probability that is of club or king card is

a).16/52                                                                                                                                                             b).17/52

c).1/12                                                                                                                                                                d).none

5. a card is drawn from a pack of playing cards at random.what is the probability that the card drawn is neither a king nor a heart?

6. if a card is drawn at random from a pack of playing cards.find the probability it is neither a hearts nor a club ?

Replies (2)

ANSWER 1 : 1/13

ANSWER 2 : 2/26

ANSWER 3 : NONE ( CORRECT ANSWER IS 12/13

ANSWER 4 : 16/52

ANSWER 5 : 40/52

ANSWER 6 : 26/52

 

Ok ...

Originally posted by : swati ghosh

1. a card is drawn at random from a well shuffled pack of 52 cards.find the probability of getting a two of heart or a diamond.

2. a card is selected at random from each of two well shuffled pack of 52 cards.the probability that both are king is

a).2/26                                                                                                                                                            b).16/169

c).2/13                                                                                                                                                             d).none

3.a card is selected at random from each of two well shuffled pack of 52 cards.the probability  that at least one of them king is

a).3/13                                                                                                                                                              b).25/169

c).2/169                                                                                                                                                            d).none

4. a card is drawn from a pack of 52 card,the probability that is of club or king card is

a).16/52                                                                                                                                                             b).17/52

c).1/12                                                                                                                                                                d).none

5. a card is drawn from a pack of playing cards at random.what is the probability that the card drawn is neither a king nor a heart?

6. if a card is drawn at random from a pack of playing cards.find the probability it is neither a hearts nor a club ?


1. There's one 2 of heart/diamond. Therefore, 2 cards from the pack of 52.
Hence, 1/26.

2. 4 kings in each pack. Therefore, 1/13 for each pack. For both the packs
1/13 x 1/13 = 1/169

3. At least one of them is King. Calculate probability of none of them being King
Therefore, for no King > 48/52 x 48/52 = 2304/2704

For at least one king > 1 - 2304/2704 = 400/2704 = 25/169

4. 13 clubs(including King of Club) + 3 Kings of others. = 16
Therefore, 16/52.

5.Neither a king nor Heart. 13 hearts + 3 kings of others.
Therefore, 1 - 16/52 = 36/52 = 9/13

6. 13 hearts + 13 clubs = 26

Therefore, 1 - 26/52 = 1/2.


Harshal's smoking weed :P.
 


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