The probability of a month of June having 5 Thursdays is 2/7. Explain how?

 In a month of June, there are 30 days

We have, 

 30 days = 28 days + 2 days

 30 days = (4 × 7) days + 2 days

 30 days = 4 weeks + 2 days

Thus June will always have 4 Thursday. The remaining 2 days can be

(i) Sunday, Monday

(ii) Monday, Tuesday

(iii) Tuesday, Wednesday

(iv) Wednesday, Thursday

(v) Thursday, Friday

(vi) Friday, Saturday

(viii) Saturday, Sunday

∴ Total number of possible outcomes = 7 

The number of favourable outcome = 2

required probability = no. of favourable outcomestotal possible outcomes = 27

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