Question

1 A card is drawn at random from a well shuffled pack of 52 cards. Find the probability of getting

1) A jack or queen or a kings.
2) A two of hearts or diamond.

Answer 1

Answer:

Total number of possible outcomes =52

Let E be the event that the drawn card is neither a king nor a queen.

Total number of kings and queens =4+4=8

∴, there are 52−8=44 cards that are neither king nor queen.

Total number of favourable outcomes =44

∴ Required probability=P(E)=Total number of outcomes/Favourable outcomes​=5244​

=1311​

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Total number of cards in a pack = 52

∴ Number of possible outcomes = 52

(i) There are 2 red kings in a pack of cards such as king of heart and king of diamond.

Number of favourable outcomes = 2

Let E be the event that the card is red king.

Thus, the probability of getting a red king is

therefore,p(E)=no.of favorable outcome/no.of possible outcomes=2/52=1/26

thus probability of getting red king is 1/52

(ii) There is one queen and one jack for each of spade, heart, club and diamond. Thus, there are 4 queens and 4 jacks in a pack of cards.

Number of favourable outcomes = 8

Let F be the event that the card is a queen or a jack.

therefore p(f)=no.of favorable outcome/no.of possible outcomes=8/52=2/13

Thus, the probability of getting a queen or a jack is 2/13

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