Question

From a well shuffle deck of 52 cards, few cards of same colour are missing. If the probability of getting a red card is 2/3 and getting a black card is 1/3. Then which colour of cards are missing and how many?

Answer 1

Answer:

Step-by-step explanation:

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

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

But, p (red) = 2/3) -----2

From The above equations ,

26/x = 2/3

x = 26 × 3/2

x = 13 × 3 = 39.

So there are 39 cards

Remaining cards = 52 - 39 = 13.

So, 13 black cards are missing..!

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