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Aptitude · Q98

Probability

Competitive Exams · Aptitude · question 98

Q98

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 at least one ticket is -

A.
0.4869
B.
0.5904
Answer
C.
0.6234
D.
0.5834

Answer: Option B

Solution

Answer: Option B
Solution:
P(winning prize at least on one ticket)
= 1 - P("Losing on all tickets")
= 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)
= (1.64)(0.36)
= 0.5904