Malik is a teacher who plays a review game with his class. The game involves writing each student's name on an identical slip of paper and selecting students at random. Here's the makeup of his class:
![Malik is a teacher who plays a review game with his class The game involves writing each students name on an identical slip of paper and selecting students at r class=](https://us-static.z-dn.net/files/d97/28592ff7542ff7126c0ca12ac58c63a1.png)
Answer:
0.04
Step-by-step explanation:
5 = total number of 9th grader
25= total number of students
5/25 * 5/25= 1/25 or 0.04
Probability that both students should be selected from 12th grade is [tex]\frac{1}{25}[/tex] or 0.04.
"Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen."
We have
Number of students of 10th grade = 6
Number of students of 11th grade = 14
Number of students of 12th grade = 5
Total number of students = 25
Number of ways in which both students should be selected from 12th grade
∴ Number of favorable outcomes = [tex]5^{2}[/tex]
∴ Total number favorable outcomes = [tex]25^{2}[/tex]
Formula to find probability
= [tex]\frac{Number of Favorable Outcomes}{Total Number of Favorable outcomes}[/tex]
Probability that both students should be selected from 12th grade
= [tex]\frac{5^{2} }{25^{2} }[/tex]
= [tex]\frac{25}{25.25}[/tex]
=[tex]\frac{1}{25}[/tex] or 0.04
Hence, Probability that both students should be selected from 12th grade is [tex]\frac{1}{25}[/tex] or 0.04.
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