P(X and then Y)

[nycmath]

A box has 26 index cards representing the letters of the alphabet A to Z. What is the probability of randomly selecting X and then Y?

[Eigenvalue]

Probability of x and then y[tex]\rightarrow[/tex]P(y|x)

Without replacement:
P(y|x)
=[tex]\frac{1}{26}[/tex]*[tex]\frac{1}{25}[/tex]

=[tex]\frac{1}{650}[/tex]

With replacement:
P(y|x)
=[tex]\frac{1}{26}[/tex]*[tex]\frac{1}{26}[/tex]

=[tex]\frac{1}{576}[/tex]

[nycmath]

Probability of x and then y[tex]\rightarrow[/tex]P(y|x)

Without replacement:
P(y|x)
=[tex]\frac{1}{26}[/tex]*[tex]\frac{1}{25}[/tex]

=[tex]\frac{1}{650}[/tex]

With replacement:
P(y|x)
=[tex]\frac{1}{26}[/tex]*[tex]\frac{1}{26}[/tex]

=[tex]\frac{1}{576}[/tex]

I will post more probability problems later from the job.