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A box contains 80 discs which are numberd from 1 to 80 if one dis is drawn out at random find the probability that it bears a prime number?
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A box contains 80 discs which are numberd from 1 to 80 if one dis is d...

Probability of drawing a prime number disc from the box:



  1. Total number of discs:
    There are 80 discs in the box, numbered from 1 to 80.



  2. Finding the prime numbers:
    Prime numbers are numbers that are only divisible by 1 and themselves. In the range of 1 to 80, the prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, and 79.



  3. Total prime number discs:
    There are 22 prime number discs in the box.



  4. Calculating probability:
    To find the probability of drawing a prime number disc, we divide the number of favorable outcomes (prime number discs) by the total number of outcomes (total discs).
    Probability = Number of prime number discs / Total number of discs
    Probability = 22 / 80
    Probability = 11 / 40
    Probability ≈ 0.275



Therefore, the probability of drawing a disc bearing a prime number from the box is approximately 0.275 or 27.5%.
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A box contains 80 discs which are numberd from 1 to 80 if one dis is drawn out at random find the probability that it bears a prime number?
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