Question

from a pack of 52 cards,a card is drawn at random.find the probablity that it is either an ace of red colour or a card of black colour.

Answer 1

How many red aces are there in a deck of cards?
How many black cards are there in a deck of cards?

Answer 2

2 red aces and 26 black cards

Answer 3

Correct.
Since these two events are mutually exclusive, there are 2 + 26 = 28 desired outcomes out of a total of 52 possible outcomes.
What is the probability of getting a desired outcome?

Answer 4

28/52

Answer 5

Correct. Just reduce the fraction.

Answer 6

thank you very much

Answer 7

You're welcome.

Answer 8

but why did you add them

Answer 9

Since the desired outcome is 2 red aces OR a black card, you add the outcomes.

Answer 10

because P(A or B) = P(A) + P(B) - P(A and B), but P(A and B) = 0,

Answer 11

thank you to both mathstudent55 and sourwing

Answer 12

P(A and B) = 0 because these two events are mutually exclusive.
If you pick a red ace, it cannot possibly be a black card.

Answer 13

wlcm