Question

One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be diamond

Answer 1

Given that,

Since there$52$ cards

$n\left(S\right)=$Total number of cards$=52$

There are $13$ diamond cards

Let $A$ be event that diamond card is withdrawn

So,$n\left(A\right)=13$

probability of $A=P\left(A\right)$

$=\frac{Numberofdiamondcards}{TotalNumberofcards}$

$=\frac{n\left(A\right)}{n\left(S\right)}$

$=\frac{13}{52}=\frac{1}{4}$