Respuesta :
the probability of selecting a drama and then a comedy with replacement and without replacement is 4/49 and 2/21 respectively !
Step-by-step explanation:
Here we have , Angel has seven DVD movies on a shelf: 4 dramas, 2 science fiction movies, and 1 comedy. Two movies will be selected at random. We need to Determine the probability of selecting a drama and then a comedy with replacement and without replacement. Let's find out:
With replacement :
Probability of selecting a Drama movie :
⇒ [tex]\frac{4}{7}[/tex]
Probability of selecting comedy movie :
⇒ [tex]\frac{1}{7}[/tex]
Probability for both events is :
⇒ [tex]\frac{1}{7}(\frac{4}{7}) =\frac{4}{49}[/tex]
Without replacement :
Probability of selecting a Drama movie :
⇒ [tex]\frac{4}{7}[/tex]
Probability of selecting comedy movie :
⇒ [tex]\frac{1}{6}[/tex]
Probability for both events is :
⇒ [tex]\frac{1}{6}(\frac{4}{7}) =\frac{2}{21}[/tex]
Therefore , the probability of selecting a drama and then a comedy with replacement and without replacement is 4/49 and 2/21 respectively !
