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The probability that a teacher will give an unannounced test during any class is 1/5. If a student is absent twice, then probability that misses atleast one test is
  • a)
        2/3    
  • b)
        4/5
  • c)
        7/25    
  • d)
        9/25
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The probability that a teacher will give an unannounced test during an...
GIven that probability that a mathematics teacher will give an unannounced test during any class meeting is 1 / 5.

the probability of not missing the test = 1 - 1/5  = 4/ 5

The probability of not missing the both test = (4/5)2 = 16 / 25

Hence probability that he will miss at least one test = 1 - 16 / 25 = 9 / 25.
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Most Upvoted Answer
The probability that a teacher will give an unannounced test during an...
Probability of Missing at Least One Test
To solve this problem, we need to find the probability that a student will miss at least one test given that they are absent twice.

The probability of missing at least one test can be calculated by subtracting the probability of not missing any tests from 1.

Probability of not missing any tests:
Since the probability that a teacher will give an unannounced test during any class is 1/5, the probability of not having an unannounced test in a class is 1 - 1/5 = 4/5.

Probability of not missing any tests in two absences:
Since the events of missing tests are independent, the probability of not missing any tests in both absences is the product of the individual probabilities. Therefore, the probability of not missing any tests in two absences is (4/5) * (4/5) = 16/25.

Probability of missing at least one test in two absences:
Finally, we can calculate the probability of missing at least one test by subtracting the probability of not missing any tests from 1. Therefore, the probability of missing at least one test in two absences is 1 - 16/25 = 9/25.

Therefore, the correct answer is option D) 9/25.
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The probability that a teacher will give an unannounced test during any class is 1/5. If a student is absent twice, then probability that misses atleast onetest isa) 2/3 b) 4/5c) 7/25 d) 9/25Correct answer is option 'D'. Can you explain this answer?
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