Is This Your Card?

There is 13 heart and 13 diamond in a card deck.

So, There is total $13 + 13 = 26$ cards can drawn.

And the deck consists 52 cards.

So, the probability that the card drawn is a heart or a diamond is $\frac{26}{52} \implies \frac{1}{2}$

So, there $\frac{a}{b} \implies \frac{1}{2}$

Then, $a = 1$ and $b = 2$

The value of $a + b \implies 1 + 2 \implies \boxed{3}$

the probability is a half as there is 4 suites and you can pick out of 2 (harts and diamonds) so the fraction would be 1/2 making a half. so 1+2 = 3 so the answer is 3

13+13/52 = 1/2 ,then a+b= 1+2=3

• $\frac{(13+13)}{52}$ = $\frac{1}{2}$ = $\boxed{3}$

Total cards = 52.

Hearts = 13 & Diamonds = 13, i.e. total = 26.

Probability = 26/52 = 1/2, i.e. a = 1 & b = 2.

For those unfamilar with a standard 52 deck, each rank (1 to K) is formed by the 4 suits (clubs, diamonds, hearts and spades), therefore the deck is divided equally into four suits (clubs, diamonds, hearts, and spades).

Since hearts represents 1/4 of the deck, and diamond represents 1/4 of the deck (and no cards being both suits at the same time), we know that 1/2 of the deck is hearts OR diamonds.

$1+2 = \boxed{3}$

there are 4 suits and 13 ranks the criteria is that he may draw any card belonging to 2 suits and each suit has 13 cards therefore number of cards which satisfy the criteria = 2 X 13 = 26 and the total number is 52 so 26/52 = 1/2 and their sum is 1 + 2 = 3 answer is 3

$\frac{26}{52}$ = $\frac{1}{2}$ , so a = 1 and b = 2, so a + b = $\boxed{3}$

Aside from those assumptions, there are 13 hearts and 13 diamonds among the 52. Thus, the probability of getting a heart is $\frac {1}{4}$ . The same thing goes to the probability of getting a diamond is $\frac {1}{4}$ . Also, note that the two events are mutually exclusive , so you might as well add the two probabilities. Thus, the probability of such is $\frac {1}{2}$ . However, the value of a+b is asked in the problem. Thus, $a+b=1+2=3$ .

probability of the card being a diamond=13/52 probability of the card being a heart =13/52 hence, total=13+13/52=1/2 1 and 2 are positive coprime integers. So, 1+2=3 which is the answer.

The probability that the card drawn is a heart or a diamond can be written as 13+13/52 = 26/52 = 1/2 = a/b. Thus a+b = 1 + 2 = 3