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The probability that a leap year, select...

The probability that a leap year, selected at random. will contain 53 Sunday is:

A

1. `2/7`

B

2. `4/7`

C

3. `3/7`

D

4. `1/7`

Text Solution

Verified by Experts

The correct Answer is:
B
Total number of days in a leap year = 366. It will contain 52 weeks and 2 days. These two days can be
(i) Sunday,Monday (ii) Monday,Tuesday
(iii) Tuesday, Wednesday (iv) Wednesday, Thursday
(v) Thursday, Friday (vi) Friday, Saturday
(vii) Saturday, Sunday
So, for 53 Sundays, probability = `2/7`
Similarly, for 53 Mondays, probability = `2/7`
Therefore, Required Probability `= 2/7 + 2/7 = 4/7`
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