Question

what is the probability that a leap has 53 mondays

Answer 1

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I have explained the answer below


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1̶ ̶y̶e̶a̶r̶ ̶=̶ ̶3̶6̶5̶ ̶d̶a̶y̶s̶
̶
̶A̶ ̶l̶e̶a̶p̶ ̶y̶e̶a̶r̶ ̶h̶a̶s̶ ̶3̶6̶6̶ ̶d̶a̶y̶s̶
̶
̶A̶ ̶y̶e̶a̶r̶ ̶h̶a̶s̶ ̶5̶2̶ ̶w̶e̶e̶k̶s̶.̶ ̶H̶e̶n̶c̶e̶ ̶t̶h̶e̶r̶e̶ ̶w̶i̶l̶l̶ ̶b̶e̶ ̶5̶2̶ ̶M̶o̶n̶d̶a̶y̶s̶ ̶f̶o̶r̶ ̶s̶u̶r̶e̶.̶
̶
̶5̶2̶ ̶w̶e̶e̶k̶s̶ ̶=̶ ̶5̶2̶ ̶x̶ ̶7̶ ̶=̶ ̶3̶6̶4̶ ̶d̶a̶y̶s̶
̶
̶3̶6̶6̶ ̶–̶ ̶3̶6̶4̶ ̶=̶2̶ ̶d̶a̶y̶s̶
̶
̶I̶n̶ ̶a̶ ̶l̶e̶a̶p̶ ̶y̶e̶a̶r̶ ̶t̶h̶e̶r̶e̶ ̶w̶i̶l̶l̶ ̶b̶e̶ ̶5̶2̶ ̶M̶o̶n̶d̶a̶y̶s̶ ̶a̶n̶d̶ ̶2̶ ̶d̶a̶y̶s̶ ̶w̶i̶l̶l̶ ̶b̶e̶ ̶l̶e̶f̶t̶.̶
̶
̶T̶h̶e̶s̶e̶ ̶2̶ ̶d̶a̶y̶s̶ ̶c̶a̶n̶ ̶b̶e̶:̶
̶
̶S̶u̶n̶d̶a̶y̶,̶ ̶M̶o̶n̶d̶a̶y̶
̶
̶M̶o̶n̶d̶a̶y̶,̶ ̶T̶u̶e̶s̶d̶a̶y̶
̶
̶T̶u̶e̶s̶d̶a̶y̶,̶ ̶W̶e̶d̶n̶e̶s̶d̶a̶y̶
̶
̶W̶e̶d̶n̶e̶s̶d̶a̶y̶,̶ ̶T̶h̶u̶r̶s̶d̶a̶y̶
̶
̶T̶h̶u̶r̶s̶d̶a̶y̶,̶ ̶F̶r̶i̶d̶a̶y̶
̶
̶F̶r̶i̶d̶a̶y̶,̶ ̶S̶a̶t̶u̶r̶d̶a̶y̶
̶
̶S̶a̶t̶u̶r̶d̶a̶y̶,̶ ̶S̶u̶n̶d̶a̶y̶
̶
̶O̶f̶ ̶t̶h̶e̶s̶e̶ ̶t̶o̶t̶a̶l̶ ̶7̶ ̶o̶u̶t̶c̶o̶m̶e̶s̶,̶ ̶t̶h̶e̶ ̶f̶a̶v̶o̶u̶r̶a̶b̶l̶e̶ ̶o̶u̶t̶c̶o̶m̶e̶s̶ ̶a̶r̶e̶ ̶2̶.̶
̶
̶H̶e̶n̶c̶e̶ ̶t̶h̶e̶ ̶p̶r̶o̶b̶a̶b̶i̶l̶i̶t̶y̶ ̶o̶f̶ ̶g̶e̶t̶t̶i̶n̶g̶ ̶5̶3̶ ̶M̶o̶n̶d̶a̶y̶s̶ ̶i̶n̶ ̶a̶ ̶l̶e̶a̶p̶ ̶y̶e̶a̶r̶ ̶=̶ ̶2̶/̶7̶.̶
̶

Answer 2

Hallo dear!!!

Gd afternoon.

Have a nice day ahead!!!

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Answer: 2/7

Step-by-step explanation:

A leap year has 366 days. That means it has 52 weeks + 2 days.

Thus these 2 days can be either {Sunday, Monday} or {Monday, Tuesday} or {Tuesday, Wednesday} or {Wednesday, Thursday} or {Thursday, Friday} or {Friday, Saturday} or {Saturday, Sunday}.

Thus the probability of 53 Mondays = 2/7

Hope it helps u.