Question

One card is drawn at random from a shuffled standard of 52 cards. The probability that the card selected is not a king is​

Answer 1

Answer: 2/13

Probability of kings = 4/52

​

Probability of queens  = 4/52

Probability of kings or queens = 4/52+4/51=8/52=2/13

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Answer 2

${\huge{\underline{\sf{\boxed{\red{Given:}}}}}}$

One card is drawn at random from a shuffled standard of 52 cards.

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${\huge{\underline{\sf{\boxed{\purple{To Find :}}}}}}$

Find the probability that the card selected is not a king.

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${\huge{\underline{\sf{\boxed{\orange{Formula \: Used :}}}}}}</p><p></p><p></p><p>$

$probability \: = \frac{favourable \: outcomes}{total \: outcomes}$

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{\huge{\sf{\boxed{\dark green{Solution :}}}}}

${\huge{\underline{\sf{\boxed{\red{Solution :}}}}}}</p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p>$

Number of total cards = 56 cards

Number of King cards = 4 cards

Number of non King cards = 56 -4 = 52

$probability \: of \: not \: getting \: king \: card \: = \frac{favourable \: outcomes}{total \: outcomes}$

$= \frac{56 - 4}{56}$

$= \frac{54}{56} \: or \: \frac{27}{28}$

So,

$</p><p>{\sf{\boxed{\orange{the \: probability of \: getting \: non \: king \: card \: is \: \frac{52}{56} }}}}</p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p></p><p>$

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