Math, asked by dani03072000, 1 month ago

4 cards are drawn at random from a pack of 52
cards. Find the probability that all are clubs.

Answers

Answered by maleentaj1008

Step-by-step explanation:

Four cards are drawn at random from a pack of 52 cards. What is the probability of getting all four cards of the same suit?

Total No. Of cards =52

No.Of cards for each suit = 13

Total types Of French suit = 4(hearts,spades, diamonds,clubs)

Prob. = Conditional case /total case

For this conditional case of selecting all four same suit,it can be either hearts or spades or clubs or diamonds

So Total no. Of conditional case= no. of case of selecting all four cards of hearts suit +no.of case of selecting all four cards of spades suit +no.of case of selecting all four cards of clubs suit + no. of case of selecting all four cards of diamonds suit.

= 13C4+13C4+13C4+ 13C4

=4*(13C4)=2860

Total no. of case= 52C4=270725

So, probability of getting all four cards of the same suit=2860/270725

Previous Question

Next Question

Similar questions

Math, 21 days ago

Q.6 Simplify ^6/^2+3+3√2+^6+^3-4^3/^6+^2 ...

Geography, 21 days ago

In the early 1700s, missions were moved to San Antonio a. because it was the halfway point between New Spain and the eastern missions. b. because fewer people were attending mission services, forcing many to shut down. c. to lower costs. d. to better fight hostile Native American troops.

Math, 21 days ago