Question

Shyam draws a card from a deck of cards. Ram draws
another card from the remaining deck. what is the
probability that both of them have Red card or both of
them have Kings?​

Answer 1

Answer:

Two cards are drawn at a time from the deck of 52 cards. What is the probability that both of them are kings?

Be an expert in programming.

Two cards are drawn at a time from the deck of 52 cards. What is the probability that both of them are Kings?

I may be splitting semantic hairs but I read this question as “ …I take ONE CARD then immediately after I TAKE THE SECOND CARD…”

In effect there is a very small time-gap between the taking of each card!

Assumptions

The cards are selected randomly and the deck is well-shuffled.

The two cards are takely singly with a very small time-gap between each card being selected.

The first card is not replaced before the second card is selected.

Card 1: Because there are four Kings in a deck of cards, the Probability of a King is:

P (King) = (4/52)

Card 2: There are now only three Kings in the deck and only 51 cards in the deck. The Probability of a King is:

P (King) = (3/51)

Therefore the Probability that BOTH cards are Kings is:

Prob (2 Kings) = (4/52) * (3/51)

= (4.525)*(10)^(-3) or

= 0.004525 or

= 0.4525%

[PS:

It also equals (1/221) if anyone is actually interested!)

PB

Answer 2

Concept

The probability is the likelihood of happening an event. It can be calculated by dividing the favourable number of outcomes by the total number of possible outcomes.

To find

The probability that both of them have red card or both of them have kings?

Find

Number of total cards=52

Number of red cards=26

Number of kings=4

The required probability =26/52*25/51 + 4/52*3/51

=662/2652

=0.25

#SPJ2