A box contain tickets numbered from 16.3 tickets are to be chosen to give 3prizes what is the probablity that at least 2tickets contain a number which is multiple of 4
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Step-by-step explanation:
In 1 - 16
4,8,12,16 are the multiples of 4.
total 4 of them are multiples of 4.
remaining 12 are not multiples of 4.
no of tickets to be picked = 3
at least 2 tickets must be multiple of 4.
probability of at least 2 are multiples of 4 = prob of getting 2 out of 3 tickets as multiples of 4 + prob of getting 3 out of 3 tickets as multiples of 4.
probability of getting 2 out of 3 tickets as multiples of 4 when 3 tickets are picked from the 16 tickets.
4/16 * 3/15 * 12/14
= 3/70
probability of getting 3 out of 3 tickets as multiples of 4 when 3 tickets are picked from the 16 tickets.
4/16 * 3/15 * 2/14
=1/140
3. + 4.
3/70 + 1/140
= 7/140
probability of at least 2 are multiples of 4 = 1/20
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