From a pack of 52 cards, 2 cards are drawn. What is the probability of that it has one two digit cards and one honour card of black suit?
Answers
8 will be the an
probability
19/663 is the probability of 2 cards drawn from 52 if it has one two digit cards and one honour card of black suit
Step-by-step explanation:
two digit cards = 10
Honour cards are 10, J, Q, K, A
Honour cards of black suit = 10
Two digit card - two 10 of black suit & two 10 of red suit
1st card is two Digit & 2nd is honor card
Two cases : 1st card is from red suit or black suit
1st card is from red suit
(2/52)(10/51) = 20/(52 * 51)
1st card is from Black suit
(2/52)(9/51) = 18/(52 * 51)
1st Card from Honor card & 2nd is two Digit card
Two cases : 1st Card is 10 or other
1st Card is 10
(2/52)(3/51) = 6/(52 * 51)
1st card is not 10
(8/52)(4/51) = 32/(52 * 51)
Probability = (20 + 18 + 6 + 32)/(52 * 51)
= 76/(52 * 51)
= 19/(13 * 51)
= 19/663
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