Question

Probability that leap year chosen at random will have 53 sundays.

a.1/49

b.3/7

c.1/7

d.2/7

Answer 1

Sample space is:

Sunday,monday

monday,tuesday

tuesday,wednesday

wednesday,thursday

thursday,friday

friday,saturday

saturday,sunday

∴ The answer is:

d) 2/7  ∵sunday comes 2 times from 7 outcomes.

Answer 2

Answer:

d. 2/7

Step-by-step explanation:

In every leap year, there are 52 weeks and 2 odd days.

[Odd days are those remain in the year after weeks.]

So any 2 consecutive days occur 53 times in a leap year.

So a leap year has:

1. 53 Sundays and 53 Mondays.
2. 53 Mondays and 53 Tuesdays.
3. 53 Tuesdays and 53 Wednesdays.
4. 53 Wednesdays and 53 Thursdays.
5. 53 Thursdays and 53 Fridays.
6. 53 Fridays and 53 Saturdays.
7. 53 Saturdays and 53 Sundays.

So there are a total of 7 chances.

Among these, there are 2 chances in which 53 Sundays occur.

1. 53 Sundays and 53 Mondays.
2. 53 Saturdays and 53 Sundays.

So the answer is option d. 2/7.

Thank you. Have a nice day. :-)