Question

WHAT IS THE PROBABILITY OF HAVING 5 THURSDAY IN THE MONTH OF AUGUST IN A YEAR

Answer 1

Answer:

5/365 = 1/73

Step-by-step explanation:

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Answer 2

There are 31 days in August. Now 4 x 7 =28. So there are 3 excess week days in August. They can be as follows:

(Sunday, Monday, Tuesday), (Monday, Tuesday, Wednesday), (Tuesday, Wednesday, Thursday), (Wednesday, Thursday, Friday),

( Thursday, Friday, Saturday), (Friday, Saturday, Sunday), (Saturday, Sunday, Monday). Hence the Sample space S contains 7 triples.

So n(S) = 7.

Now the desired event E is getting 5 Thursdays. Thursday appears in 3 triples (Tuesday, Wednesday, Thursday), (Wednesday, Thursday, Friday), ( Thursday, Friday, Saturday). So, n(E) = 3.

So the probability of getting 5 Thursdays in the month of August = n(E)/n(S) = 3/7