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A box contains 80 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 30, is:
  • a)
    1/8
  • b)
    9/80
  • c)
    11/80
  • d)
    3/20
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A box contains 80 discs, numbered from 1 to 90. If one disc is drawn a...
Total number outcomes = 80
i.e., n(S) = 80
Prime number less than 30 = 2, 3, 5, 7, 11,
13, 17, 19, 23, 29
i.e., n(E) = 10
∴ Required probability,
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Most Upvoted Answer
A box contains 80 discs, numbered from 1 to 90. If one disc is drawn a...
Probability of drawing a prime number less than 30 from a box containing 80 discs numbered from 1 to 90 is to be found.

Total number of discs in the box = 80
Total number of prime numbers less than 30 = 10 (2, 3, 5, 7, 11, 13, 17, 19, 23, 29)

To find the probability, we can use the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes

Finding the number of favorable outcomes:
The number of favorable outcomes is the number of discs in the box that have prime numbers less than 30.

Number of favorable outcomes = 10

Finding the total number of possible outcomes:
The total number of possible outcomes is the total number of discs in the box.

Total number of possible outcomes = 80

Applying the formula, the probability is:

Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 10 / 80

Simplifying the fraction, we get:

Probability = 1 / 8

Therefore, the probability that the disc drawn from the box bears a prime number less than 30 is 1/8.
Free Test
Community Answer
A box contains 80 discs, numbered from 1 to 90. If one disc is drawn a...
Prime numbers = 9 ( 1,2,3,5,7,11,13,17,19,23,29)
number of disc=80
Answer is 9/80
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A box contains 80 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 30, is:a)1/8b)9/80c)11/80d)3/20Correct answer is option 'A'. Can you explain this answer?
Question Description
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