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31. Mathematical Reasoning
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Q7 of 134 Page 31

What is the probability that a leap year has 53 Sundays and 53 Mondays?

given: a leap year which includes 52 weeks and two days

formula:


so, we have to determine the probability of that remaining two days are Sunday and Monday


S= {MT, TW, WT, TF, FS, SSu, SuM}


Therefore n(S)=7


E= {SuM}


n(E)=1




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5

Three coins are tossed together. Find the probability of getting:

(i) exactly two heads


(ii) at least two heads


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6

What is the probability that an ordinary year has 53 Sundays?

8

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the probability that:

(i) All the three balls are white


(ii) All the three balls are red


(iii) One ball is red and two balls are white

9

In a single throw of three dice, find the probability of getting the same number on all the three dice

Questions · 134
31. Mathematical Reasoning
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