1800-150-456-789
FlagBACK
Flag Magical Mathematics[Interesting Approach]> In a pack of cards there are 52 cards: ca...
question mark

In a pack of cards there are 52 cards: cards of 13 denominations belonging to each of 4 suits (clubs, diamonds, hearts and spades). 5 cards are drawn from a pack of 52 cards. What is the probability of getting 3 cards of one denomination and 2 cards of another denomination?
the way i approached is [13C3+39C2/52C5 ]*4
is this a right way of doing ?

shiya , 6 Years ago
Grade 12th pass
anser 1 Answers
Rajat

Last Activity: 6 Years ago

First you have to choose a denomination out of the 13 denominations, that can be done in 13C1 ways= 13. There are four cards present of the chosen enomination from the four suits, we have to choose 3 among them = 4C3= 4. 
We are left out with 12 different denominations (except the chosen one) we have to choose one denomination out of these 12 denominations.
No of ways = 12C1= 12, in the chosen denomination we have four cards from 4 different suits and have to choose 2 among them.
Ways = 4C2 = 6
the event of choosing 3 cards from denomination and 2 cards from a different denomination are independent of each other thus we have to multiply them.
Required probability = (13*4)(12*6)/52C5= 6/4165

Provide a better Answer & Earn Cool Goodies

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Other Related Questions on magical mathematics[interesting approach]

question mark
Given that (1+5x)⁴ = 1 + Px + Qx² + Rx³ +..... Find the values of P - 2Q + 3R
magical mathematics[interesting approach]
1 Answer Available

Last Activity: 2 Years ago

question mark
9 men and 15 boys working 10 hours a day can make 12 pillars in 42 days, in how many days will 12 men and 22 boys working 8 hours a day can make pillars 4 times the previous number?
magical mathematics[interesting approach]
1 Answer Available

Last Activity: 2 Years ago

question mark
In the given figure, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter, find angle PCA + angle BCQ? 
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 2 Years ago

question mark
for any two sets A and B (A-B)U(B-A)U (A intersection B)
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 2 Years ago

question mark
If someone has got 150 out of 200 marks in term 1 exam and 160 out of 200 marks in term 2 exam then what is the percentage in  30:70 
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 3 Years ago