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What is probability that there are 5 Sundays in a month of 30 days, which is chosen at random.

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A month of 30 days has four complete weeks and 2 extra days. These two days may be;

(i) Monday and Tuesday

(ii) Tuesday and Wednesday

(iii) Wednesday and Thursday

(iv) Thursday and Friday

(v) Friday and Saturday

(vi) Saturday and Sunday

(vii) Sunday and Monday.

∴ The number of all possible events = 7

Now in these events, last two events have Sunday each.

∴ Number of favourable outcomes = 2

∴ In these remaining two days, the probability of having Sunday = \(\frac { 2 }{ 7 }\).

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