One card is drawn from a well-shuffled deck o | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The total number of cards in a well-shuffled deck is $52$. Let $A$ be the event that the card drawn is a diamond. There are $13$ diamond cards in

Vedclass · Accepted Answer

$\frac{3}{4}$

Vedclass · Answer

(C) The total number of cards in a well-shuffled deck is $52$. Let $A$ be the event that the card drawn is a diamond. There are $13$ diamond cards in a deck of $52$ cards. Therefore,the probability of drawing a diamond is $P(A) = \frac{13}{52} = \frac{1}{4}$. The event 'the card drawn is not a diamond' is the complement of event $A$,denoted as $A'$. The probability of the complement event is given by $P(A') = 1 - P(A)$. Substituting the value,we get $P(A') = 1 - \frac{1}{4} = \frac{3}{4}$.

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 not be a diamond.

Similar Questions

$A$ die is thrown. Describe the following events: $A$: a number less than $7$,$B$: a number greater than $7$,$C$: a multiple of $3$. Find $B \cup C$.

Two dice are rolled simultaneously. The probability that the sum of the two numbers on the dice is a prime number is:

$A$ problem in Mathematics is given to three students $A, B, C$ and their respective probabilities of solving the problem are $\frac{1}{2}, \frac{1}{3},$ and $\frac{1}{4}$. What is the probability that the problem is solved?

The probability that a non-leap year selected at random will contain $52$ Saturdays or $53$ Sundays is

$A$ mathematics problem is given to three students $A, B$,and $C$. The probabilities of them solving the problem are $1/2, 1/3$,and $1/4$ respectively. What is the probability that the problem is solved?

Vedclass Test Series

Exam Paper Generator

Online Exam Module