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From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
- a)1/15
- b)25/57
- c)35/256
- d)1/221
Correct answer is option 'D'. Can you explain this answer?
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From a pack of 52 cards, two cards are drawn together at random. What ...
Let S be the sample space.
Then, n(S) = 52C2 = (52 x 51)/(2x1) = 1326.
Let E = event of getting 2 kings out of 4.
⇒ n(E) = 4C2 = (4 x 3)/ (2 x 1) = 6.
⇒ P(E) =n(E)/n(S) =6/1326 = 1/221.
Then, n(S) = 52C2 = (52 x 51)/(2x1) = 1326.
Let E = event of getting 2 kings out of 4.
⇒ n(E) = 4C2 = (4 x 3)/ (2 x 1) = 6.
⇒ P(E) =n(E)/n(S) =6/1326 = 1/221.
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From a pack of 52 cards, two cards are drawn together at random. What ...
Calculation of Probability of Drawing Two Kings
The total number of ways to draw 2 cards from a deck of 52 is given by 52C2 = 1326.
Finding the number of ways to draw 2 kings
There are 4 kings in a deck of 52 cards. Therefore, the number of ways to draw 2 kings is given by 4C2 = 6.
Calculating the Probability
The probability of drawing 2 kings is given by the number of ways to draw 2 kings divided by the total number of ways to draw 2 cards.
Therefore, P(both cards are kings) = 6/1326 = 1/221.
Therefore, the correct answer is option 'D', 1/221.
The total number of ways to draw 2 cards from a deck of 52 is given by 52C2 = 1326.
Finding the number of ways to draw 2 kings
There are 4 kings in a deck of 52 cards. Therefore, the number of ways to draw 2 kings is given by 4C2 = 6.
Calculating the Probability
The probability of drawing 2 kings is given by the number of ways to draw 2 kings divided by the total number of ways to draw 2 cards.
Therefore, P(both cards are kings) = 6/1326 = 1/221.
Therefore, the correct answer is option 'D', 1/221.
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From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?a)1/15b)25/57c)35/256d)1/221Correct answer is option 'D'. Can you explain this answer?
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