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.

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 :

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Probability of selecting comedy movie :

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Probability for both events is :

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Without replacement :

Probability of selecting a Drama movie :

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Probability of selecting comedy movie :

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Probability for both events is :

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