Quantitative Reasoning

Probability

Easy

One card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card be an ace.

1/13

12/13

2/3

✅ Correct Option: 1

A standard deck has 52 cards in total.

There are 4 aces in a deck (one in each suit: Hearts, Diamonds, Clubs, and Spades).

The probability of drawing an ace is:

Probability $= \dfrac{\text{Number of aces}}{\text{Total number of cards}}$

Probability $= \dfrac{4}{52}$

Simplifying the fraction by dividing both numerator and denominator by 4:

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

Therefore, the probability of drawing an ace is $\dfrac{1}{13}$ .

2023: 30 May Shift 3

A dice is thrown twice. Find the probability of getting an odd number in the second throw and a multiple of 3 in the first throw.

2026: 24 May Shift 1

If a dice is thrown, what is the probability of getting 6 ?

2025: 15 May Shift 1

A bag contains 4 red, 5 blue and 3 green balls. If two balls are drawn at random from the bag, then which of the following statements are correct?

(A) The probability that both balls are red is 1/11.

(B) The probability that one ball is red, and one ball is blue is 10/33

(D) The probability that both balls are green is 5/11.

Choose the correct answer from the options given below:

2026: 14 May Shift 1

If A and B are two disjoint events then

A. A ∩ B = Φ

B. P ( A ∩ B ) = 0

C. P ( A ∪ B ) = P (A) + P (B)

D. P ( A ∩ B ) = 1

Choose the correct answer from the options given below:

2026: 29 May Shift 2

In a lottery with 10 prizes and 25 blanks, what is the probability of drawing a prize?

2025: 30 May Shift 2

An integer number is chosen at random from the first 100 integers. What is the probability that the chosen number is a perfect cube?

Solution