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The probability of passing an examination for A and B are 0.7 and 0.8 respectively. Find the probability that at least one of them pass the examination.
  • a)
    0.6
  • b)
    0.64
  • c)
    0.94
  • d)
    0.9
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The probability of passing an examination for A and B are 0.7 and 0.8 ...
Given:
The probability of passing an examination for A and B are 0.7 and 0.8 respectively. 
Formula Used:
Probability = Favorable outcome/sample space
Calculation:
⇒ Probability that A fail in examination = 1 - 0.7 = 0.3 
⇒ Probability that B fail in examination = 1 - 0.8 = 0.2 
⇒ required probability = 0.7 × 0.8 + 0.8 × 0.3 + 0.7 × 0.2 = 0.56 + 0.24 + 0.14 = 0.94 
∴ Required probability = 0.94 
Alternate Method:
Probability that at least one of them pass the examination = 1 - probability that both fails the examination
⇒ required probability = 1 - (0.3 × 0.2) = 0.94
∴ Required probability = 0.94
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Most Upvoted Answer
The probability of passing an examination for A and B are 0.7 and 0.8 ...
Given:
The probability of passing an examination for A and B are 0.7 and 0.8 respectively. 
Formula Used:
Probability = Favorable outcome/sample space
Calculation:
⇒ Probability that A fail in examination = 1 - 0.7 = 0.3 
⇒ Probability that B fail in examination = 1 - 0.8 = 0.2 
⇒ required probability = 0.7 × 0.8 + 0.8 × 0.3 + 0.7 × 0.2 = 0.56 + 0.24 + 0.14 = 0.94 
∴ Required probability = 0.94 
Alternate Method:
Probability that at least one of them pass the examination = 1 - probability that both fails the examination
⇒ required probability = 1 - (0.3 × 0.2) = 0.94
∴ Required probability = 0.94
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Adapted from “Coddling in Education” by Henry Seidel Canby(1922)American minds have been coddled in school and college for at least a generation. There are two kinds of mental coddling. The first belongs to the public schools, and is one of the defects of our educational system that we abuse privately and largely keep out of print. It is democratic coddling. I mean, of course, the failure to hold up standards, the willingness to let youth wobble upward, knowing little and that inaccurately, passing nothing well, graduating with an education that hits and misses like an old typewriter with a torn ribbon. America is full of "sloppy thinking," of inaccuracy, of half-baked misinformation, of sentimentalism, especially sentimentalism, as a result of coddling by schools that cater to an easy-going democracy.A dozen causes are responsible for this condition, and among them, I suspect, one, which if not major, at least deserves careful pondering. The teacher and the taught have somehow drifted apart. His function in the large has been to teach an ideal, a tradition. He is content, he has to be content, with partial results. In the mind of the student a dim conception has entered, that this education--all education--is a garment merely, to be doffed for the struggle with realities. The will is dulled. Interest slackens.But it is in aristocratic coddling that the effects of our educational attitude gleam out to the least observant understanding. The teaching in the best American preparatory schools and colleges is as careful and as conscientious as any in the world. That one gladly asserts. Indeed, an American boy in a good boarding-school is handled like a rare microbe in a research laboratory. He is ticketed; every instant of his time is planned and scrutinized; he is dieted with brain food, predigested, and weighed before application. I sometimes wonder if a moron could not be made into an Abraham Lincoln by such a system--if the system were sound.It is not sound. The boys and girls, especially the boys, are coddled for entrance examinations, coddled through freshman year, coddled oftentimes for graduation. And they too frequently go out into the world fireproof against anything but intellectual coddling. Such men and women can read only writing especially prepared for brains that will take only selected ideas. They can think only on simple lines. They can live happily only in a life where no intellectual or esthetic experience lies too far outside the range of their curriculum. A world where one reads the news and skips the editorials; goes to musical comedies, but omits the plays; looks at illustrated magazines, but seldom at books; talks business, sports, and politics, but never economics, social welfare, and statesmanship--that is the world for which we coddle the best of our youth. Many indeed escape the evil effects by their own innate originality; more bear the marks to the grave.Q. The author of this passage is primarily focused on__________.

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The probability of passing an examination for A and B are 0.7 and 0.8 respectively. Find the probability that at least one of them pass the examination.a)0.6b)0.64c)0.94d)0.9Correct answer is option 'C'. Can you explain this answer?
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