Question

Angel has seven DVD movies on a shelf: 4 dramas, 2 science fiction movies, and 1 comedy. Two movies will be selected at random. Determined the probability of selecting a drama and then a comedy with replacement and without replacement.

Answer 1

the probability of selecting a drama and then a comedy with replacement and without replacement is 4/49 and 2/21 respectively !

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 :

⇒
`(4)/(7)`

Probability of selecting comedy movie :

⇒
`(1)/(7)`

Probability for both events is :

⇒
`(1)/(7)((4)/(7)) =(4)/(49)`

Without replacement :

Probability of selecting a Drama movie :

⇒
`(4)/(7)`

Probability of selecting comedy movie :

⇒
`(1)/(6)`

Probability for both events is :

⇒
`(1)/(6)((4)/(7)) =(2)/(21)`

Therefore , the probability of selecting a drama and then a comedy with replacement and without replacement is 4/49 and 2/21 respectively !