Question

From a well shuffled deck of 52 cards a card is drawn at random . The probability of not getting a spade is

Answer 1

Answer: 3/4

Step-by-step explanation:

A deck of cards contains 13 spades, 13 hearts, 13 clubs and 13 diamonds.

Therefore, the probability of getting a spade is 13/52 = 1/4

The probability of NOT getting a spade is,

probability of not getting a spade = total probability - probability of getting a spade

total probability or sum of all individual probabilities is always 1, so,

= 1 - 1/4 = 3/4

Answer 2

$\sf{\underline{\boxed{\large{\blue{\mathsf{Solution}}}}}}$

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Total no. of card = 52 cards

_______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• P( not a spade ) = ???

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

• It is given that there is a deck of 52 cards
• Therefore no. of spade = 13
• no. of cards other than spade = 52 - 13 = 39

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{P ( E ) = \dfrac{no.\: of \: favorable \: outcomes}{ Total\: no. \: of \:outcomes}}}}}$

⠀⠀

P( not a spade ) = $\sf{\bold{\dfrac{not\: getting \: a \: spade \: card } {Total\: of\:cards}}}$

⠀⠀⠀⠀

P( not a spade ) = $\sf{\bold{\dfrac{39 } {52}}}$

⠀⠀⠀⠀

p ( not a spade) = $\sf{\bold{\dfrac{3 } {4}}}$

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Probability of not getting a spade card in the pack of well shuffled cards is 3 / 4