There are 14 boys and 6 girls in Emily’s class. One student in Emily’s class is chosen each day to hand out calculators to all the students. Also, one student in Emily’s class is chosen each day to collect calculators at the end of class. The same student can be chosen for each job. Each student is equally likely to be chosen. What is the probability a girl is selected to do both jobs on Monday?
A. 9/100
b. 107/190
C. 3/5
d. 3/38

Question

25-09-2017
Mathematics

contestada

There are 14 boys and 6 girls in Emily’s class. One student in Emily’s class is chosen each day to hand out calculators to all the students. Also, one student in Emily’s class is chosen each day to collect calculators at the end of class. The same student can be chosen for each job. Each student is equally likely to be chosen. What is the probability a girl is selected to do both jobs on Monday?
A. 9/100
b. 107/190
C. 3/5
d. 3/38

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Catya Catya · Answer 1 · 2017-09-25T20:57:51+02:00

Catya Catya

25-09-2017

Same girl can be chosen for both jobs, is the probability with replacement. Multiply the individual probabilities.

(6/20) * (6/20) = 9/100

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-06-08T12:28:34+02:00

The probability of a girl being selected to do both jobs on Monday will be 3 / 38. Then the correct option is D.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

There are 14 boys and 6 girls in Emily’s class.

One student in Emily’s class is chosen each day to hand out calculators to all the students.

Also, one student in Emily’s class is chosen each day to collect calculators at the end of class.

The same student can be chosen for each job.

Each student is equally likely to be chosen.

Then the total number of the students will be

Total students = 14 + 6

Total students = 20

Then the probability a girl is selected to do both jobs on Monday will be

P = ⁶C₂ / ²⁰C₂

P = 15 / 190

P = 3 / 38

Then the correct option is D.

More about the probability link is given below.

https://brainly.com/question/795909

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