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The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.
  • a)
     0.4869
  • b)
     0.5904
  • c)
     0.6234
  • d)
     0.5834
  • e)
     0.2952
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The probability of a lottery ticket being a prized ticket is 0.2. When...
Given:
Probability of winning a prize on a single ticket = 0.2
Number of tickets purchased = 4

To find:
Probability of winning a prize on at least one ticket out of four.

Solution:
The probability of not winning a prize on a single ticket = 1 - 0.2 = 0.8
Therefore, the probability of not winning a prize on all four tickets = 0.8 x 0.8 x 0.8 x 0.8 = 0.4096

The probability of winning a prize on at least one ticket = 1 - probability of not winning a prize on all four tickets
= 1 - 0.4096
= 0.5904

Therefore, the probability of winning a prize on at least one ticket out of four is 0.5904 or option B.
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Community Answer
The probability of a lottery ticket being a prized ticket is 0.2. When...
Probability of not winning any prize = 0.8^4
total -none= atleastone
1-0.8^4=atleast one
0.5904= atleast one
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The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.a)0.4869b)0.5904c)0.6234d)0.5834e)0.2952Correct answer is option 'B'. Can you explain this answer?
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