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 a diamond
When a card is drawn from a well shuffled deck of $52$ cards, the number of possible outcomes is $52$
Let $A$ be the event ' the card drawn is a diamond ' Clearly the number of elements in set $A$ is $13 .$
Therefore, $P ( A )=\frac{13}{52}=\frac{1}{4}$
i.e. probability of a diamond card $=\frac{1}{4}$
Two dice are thrown. The events $A, B$ and $C$ are as follows:
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$
Describe the events $A^{\prime }.$
A number is chosen at random from the set $\{1,2,3, \ldots, 2000\}$. Let $p$ be the probability that the chosen number is a multiple of $3$ or a multiple of $7$ . Then the value of $500\ p$ is. . . . . .
A letter is chosen at random from the word $\mathrm {'ASSASSINATION'}$. Find the probability that letter is a consonant.
A bag contains $9$ discs of which $4$ are red, $3$ are blue and $2$ are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag. Calculate the probability that it will be red.
The probability of a sure event is