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ACT Exam  >  ACT Questions  >  The probability of Sita, Gita and Mita passin... Start Learning for Free
The probability of Sita, Gita and Mita passing a test is 60%, 40% and 20% respectively. What is the probability that at Sita and Gita will pass the test and Mita will not?
  • a)
    38.4%
  • b)
    60%
  • c)
    4.8%
  • d)
    19.2%
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The probability of Sita, Gita and Mita passing a test is 60%, 40% and ...
To find the probability that Sita and Gita will pass the test and Mita will not, we need to multiply the individual probabilities of Sita and Gita passing the test and the probability of Mita not passing the test.

Given:
Probability of Sita passing the test = 60% = 0.60
Probability of Gita passing the test = 40% = 0.40
Probability of Mita not passing the test = 100% - Probability of Mita passing the test = 100% - 20% = 80% = 0.80

To find the probability of Sita and Gita passing the test and Mita not passing, we multiply the individual probabilities:

Probability (Sita and Gita pass test and Mita does not pass) = Probability (Sita passes test) * Probability (Gita passes test) * Probability (Mita does not pass)

= 0.60 * 0.40 * 0.80

Calculating the above expression, we get:

= 0.192

Therefore, the probability that Sita and Gita will pass the test and Mita will not is 19.2% (option D).
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Community Answer
The probability of Sita, Gita and Mita passing a test is 60%, 40% and ...
Given:
Probability of passing the test by Sita = 60% = 60/100
Probability of passing the test by Gita = 40% = 40/100
Probability of passing the test by Mita = 20% = 20/100
Formula:
Probability of not happening even A = 1 - Probability of  happening even A
Probability of happening A and B = Probability of happening A × Probability of happening B
Calculation:
Probability of not passing the test by Mita = 1 - Probability of passing the test by Mita
= 1 - (20/100)
= 80/100
Now,
Probability that at Sita and Gita will pass the test and Mita will not = Probability of passing the test by Sita × Probability of passing the test by Gita × Probability of not passing the test by Mita
= (60/100) × (40/100) × (80/100)
= 192/1000
= (192/10)%
= 19.2%
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The probability of Sita, Gita and Mita passing a test is 60%, 40% and 20% respectively. What is the probability that at Sita and Gita will pass the test and Mita will not?a)38.4%b)60%c)4.8%d)19.2%Correct answer is option 'D'. Can you explain this answer?
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The probability of Sita, Gita and Mita passing a test is 60%, 40% and 20% respectively. What is the probability that at Sita and Gita will pass the test and Mita will not?a)38.4%b)60%c)4.8%d)19.2%Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about The probability of Sita, Gita and Mita passing a test is 60%, 40% and 20% respectively. What is the probability that at Sita and Gita will pass the test and Mita will not?a)38.4%b)60%c)4.8%d)19.2%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability of Sita, Gita and Mita passing a test is 60%, 40% and 20% respectively. What is the probability that at Sita and Gita will pass the test and Mita will not?a)38.4%b)60%c)4.8%d)19.2%Correct answer is option 'D'. Can you explain this answer?.
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