Question

In: Statistics and Probability

Calculate this In a class of 20 boys and 12 girls we randomly select two speakers....

Calculate this

In a class of 20 boys and 12 girls we randomly select two speakers. What is the probability both speakers will be girls? And what is the probability the speakers will be of the same gender? Please, describe how you got the result

Solutions

Expert Solution

Given are total 32 students out of which 20 boys and 12 girls.

The total number of ways we can select two speakers is:

the number of ways we select two speakers which are both girls is:

##Since we have to select both from girls.

The probability both speakers will be girls given by:

the number of ways we select two speakers which are both boys is:

##Since we have to select both from girls.

The probability both speakers will be of the same gender given by:

##Since the speakers will of same if we select the both speakers either from boys or girls.

orchestra answered 1 year ago

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