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# Ramesh Chooses a Date at Random in January for a Party. - ICSE Class 10 - Mathematics

#### Question

Ramesh chooses a date at random in january for a party.

 January Mon 6 13 20 27 Tue 7 14 21 28 Wed 1 8 15 22 29 Thurs 2 9 16 23 30 Fri 3 10 17 24 31 sat 4 11 18 25 Sun 5 12 19 26

Find the probability that the choose:

(1) a Wednesday

(2) a friday

(3) a tuesday or a saturday.

#### Solution

Number of possible outcomes= number of day in the month=31

n(s)=31

(1) E= event of selection of a Tuesday or a saturday ={1,8,15,22,29}

n(E)=5

Probability of selection of a wednesday= P(s)=(n(E))/(n(s))=5/31

E=event of selection of a friday ={3,10,17,24,31}

n(E)=5

probability of selection of a friday =P(s)=(n(E))/(n(s))=5/31

E=event of seletionn of a tuesday or a saturday ={4,7,11,14,18,21,25,28}

n(E)=8

Probability of selection of a Tuesday or a saturday =P(s)=(n(E))/(n(S))=8/31

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#### APPEARS IN

Solution Ramesh Chooses a Date at Random in January for a Party. Concept: Random Experiments.
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