9. A card is drawn from a pack of well – shuffled $52$ playing cards. Find the probability that the card draw is,(iii) a king (iv) an ace or a queen - Noon Academy

9. A card is drawn from a pack of well – shuffled $52$ playing cards. Find the probability that the card draw is,(iii) a king (iv) an ace or a queen

Class 10 | Frank | ICSE | Maths | Probability

9. A card is drawn from a pack of well – shuffled $52$ playing cards. Find the probability that the card draw is,(iii) a king (iv) an ace or a queen

(iii)

The probability that getting a king,

In $52$ playing cards there are $4$ kings,

Therefore, the number of favorable outcomes to the event getting a king $=4$

Thus,

P(card drawn is a king) = Favorable outcomes/Total number of outcomes

$=4/52$

$=1/13$

(iv)

The probability that getting an ace or a queen,

In $52$ playing cards there are $4$ ace and $4$ queens,

Now, the number of favorable outcomes to the event getting an ace or a queen $=4+4$

Thus,

P(card drawn is an ace or a queen) = Favorable outcomes/Total number of outcomes

$=4/52+4/52$

$=1/13+1/13$

$=2/13$

i

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