From a well-shuffled pack of 52 cards, fewcards of same colour are mis

1.	From a well-shuffled pack of 52 cards, fewcards of same colour are missing. If P(drawing a red card) 2/3 and P (drawing ablack card) -#1/3, then which colour ocards are missing and how many?
Answer» 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 t 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

From a well-shuffled pack of 52 cards, fewcards of same colour are missing. If P(drawing a red card) 2/3 and P (drawing ablack card) -#1/3, then which colour ocards are missing and how many?

Answer»

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 t 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