Data analysis Given a standard deck of cards, To find the probability of drawing three red cards one by one by not replacing any of the card.

tricotasu

tricotasu

Answered question

2021-05-28

Data analysis
Given a standard deck of cards,
To find the probability of drawing three red cards one by one by not replacing any of the card.

Answer & Explanation

timbalemX

timbalemX

Skilled2021-05-29Added 108 answers

At First card draw,
total cards in deck =52
Total red cards =26
Probability that first drawn card is red =26/52
At second card draw,
total cards in deck =51
Total red cards =25
Probability that first drawn card is red =25/51
At third card draw,
total cards in deck =50
Total red cards =24
Probability that first drawn card is red =24/50
Hence final probability that three drawn cards one after one with replacing are red
(26/52)×(25/51)×(24/50)
=(1/2)×(25/51)×(12/25)
=(1×25×12)/(2×51×25)
=300/2550
=0.1176 (rounded to 4 decimals)

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