Question

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Answer 1

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Here's Your Answer ⏬

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With Brief Explanation ;-
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1) First Question ;-

• As a normal year has 52 Mondays, 52 Tuesdays, 52 Wednesdays, 52 Thursdays, 52 Fridays, 52 Saturdays and 52 Sundays + 1 day that could be anything depending upon the year under consideration. In addition to this, a leap year has an extra day which might be a Monday or Tuesday or Wednesday...or Sunday. 

=> We've now reduced the question to : what is the probability that in a given pair of consecutive days of the year one of them is a Sunday?


Our sample space is S : {Monday-Tuesday, Tuesday-Wednesday, Wednesday-Thursday,..., Sunday-Monday}


• Number of elements in S = n(S) = 7

What we want is a set A (say) that comprises of the elements Saturday-Sunday and Sunday-Monday i.e. A : {Saturday-Sunday, Sunday-Monday}

• Number of elements in set A = n(A) = 2

By definition, probability of occurrence of A = n(A)/n(S) = 2/7

=> Therefore, probability that a leap year has 53 Sundays is 2/7.

Note ; The answer given can be anyday of a week ; you can suppose it on Sunday !

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2) Second Question ;-

=> Let the three angles are A,B and C

=> It's an rt angle triangle

=> Let B=90°

• Also given that one angle exceed other by 20°

=> i.e.A=C+20°

• By Angle Sum Property of The ;

=> A+B+C=180°

=> C+20+90+C=180

=> C=35°


=> A=C+20=35+20=55°

• So 35° and 55° are required angles


________✨@dmohit432✨________

Answer 2

Answer:

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Step-by-step explanation: