Question

From a well of shuffled deck of 52 cards few cards of same colour are missing . If p (drawing) a red card is 2/3 and p (black card) is 1/3 then, which colour of cards are missing and how many?

Answer 1

Normally there are 26 black and 26 red cards.

So probability of drawing a red card will be 1/2 and black card will be 1/2.

  But according to the question,

P (red) = 2/3 and p (black) = 1/3.

Here we can clearly understand that black cards are missing as they are less in number when compared to Red.

So red cards will be same i.e 26.

Let x be The number of cards in the new set. ( after the missing cards).

So, p (red) = 26/x. ----------------------- ①

But, p (red) = 2/3. (Given in the question) -----②.

From The above two equations ,

26/x = 2/3

x = 26 × 3/2

x = 13 × 3 = 39.

So there are 39 cards in the new set.

Remaining cards = 52 - 39 = 13.

So, 13 black cards are missing..!

:)

Answer 2

Answer:

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