Find the possibility of getting ace of hearts and ace of spades from 52 cards.
Answers
Answer:
Given : 52 cards.
To Find : possibility of getting ace of hearts and ace of spades from 52 cards.
Solution:
Given Question is ambiguous.
as how many cards are drawn is not given
If one card is drawn
Then possibility of getting ace of hearts and ace of spades = 0
as two card can not be drawn
Then possibility of getting ace of hearts or ace of spades = 2/52
= 1/26
if two cards are drawn
Then selecting ace of hearts and ace of spades = ²C₂ = 1 ways
and selecting 2 cards from 52 is ⁵²C₂ = 52 * 51 / 2
possibility of getting ace of hearts and ace of spades from 52 cards. =²C₂/⁵²C₂
= 2/(52 * 51)
= 1/(26 * 51)
= 1/1326
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