Question

Please help.
One card is selected from an ordinary deck of 52. What is the probability as a common fraction for a heart and a diamond

Answer 1

Do you know how many of the cards in a 52 card deck are black and how many are red?

Answer 2

let A=black cards are drawn
B=red card is drawn
P(A)=26/52=1/2
similarly P(B)=?
\[P \left( A \cup B \right)=P \left( A \right)+P \left( B \right)\]

Answer 3

number of hearts=13
number of diamonds=13
total no.of cards=52
calculate as done in (a)

Answer 4

Since all of the cards are either red or black, its somewhat of a silly question...assuming your worded it correctly. You're ALWAYS going to draw a red or black card when you draw one. How do you express a probability of something that is certain to happen every time?

Answer 5

Right....well the question was worded "one card is selected from an ordinary deck of 52. Find the probability as a common fraction in its simplest form for each event:
a) a black card or a red card
b) a heart and a diamond

Answer 6

Likewise, b seems a silly question. A card obviously cannot be a heart AND a diamond. It's impossible. How do you express the probability of something that will never happen?

Answer 7

Are you seeing that the answer to a) is 1 and b) is 0 ?

Answer 8

Yes..I see. thank you :)