Question

Q.21. From a well shuffled pack of 52 cards, few cards of same colour are missing. If P(drawing a

black card)=2/3 and P(drawing a black card) = 1/3, then which colour of card are missing and

how many?​

Answer 1

Answer:

black and 13 cards

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. ( 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.

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Answer 2

Answer:

your answer is in attachment