Question

If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is ?

Answer 1

Total Cards=52

Total spade cards=13

Card of king other than spade=3

Favourable outcomes=13+3=16

Total outcomes =52

P(E)=16/52=4/13

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Answer 2

The probability of drawing a spade or a king is $\frac{ 16 }{ 52 }$

Solution:

The probability of an event is given as:

$Probability = \frac{ \text{ number of favorable outcomes }}{\text{ total number of possible outcomes }}$

Total number of possible outcomes = 52 cards

Favorable outcomes = drawing a spade or a king

There are 13 spade cards in the deck of 52 cards

There are 4 king in deck of deck of 52 cards

Already, 1 king is present in spade

Therefore,

Favorable outcomes = 13 + 4 - 1 = 16

Thus, the probability of drawing a spade or a king is:

$Probability = \frac{ 16 }{ 52 }$

Thus the probability of drawing a spade or a king is $\frac{ 16 }{ 52 }$

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