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

\((26/52)\times(25/51)\times(24/50)\)

\(=(1/2)\times(25/51)\times(12/25)\)

\(=(1\times25\times12)/(2\times51\times25)\)

\(=300/2550\)

\(=0.1176\) (rounded to 4 decimals)

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

\((26/52)\times(25/51)\times(24/50)\)

\(=(1/2)\times(25/51)\times(12/25)\)

\(=(1\times25\times12)/(2\times51\times25)\)

\(=300/2550\)

\(=0.1176\) (rounded to 4 decimals)