MATH SOLVE

4 months ago

Q:
# A total of 3 cards are chosen at random, without replacing them, from a standard deck of 52 playing cards. What is the probability of choosing 3 king cards? 113⋅351⋅125=15525 113⋅113⋅113=313 452⋅352⋅252=417576 113⋅113⋅113=42197

Accepted Solution

A:

Answer: [tex]\dfrac{1}{5525}[/tex]Step-by-step explanation:The total number of cards =52The number of kings in the cards = 4 If repetition is not allowed , then the total number of ways of choosing 3 cards will be :-[tex]52\times51\times50=132600[/tex] The number of ways of choosing 3 kings will be :-[tex]4\times3\times2=24[/tex]Now, the probability of choosing 3 king cards will be :-[tex]\dfrac{24}{132600}=\dfrac{1}{5525}[/tex]Hence, the probability of choosing 3 king cards =[tex]\dfrac{1}{5525}[/tex]