Question

please answer this question I m not able to find this ans

Identical cards are marked 1 to 100. When a card is drawn at random, what is the
probability that it is-
i) a multiple of 11.
ii) a perfect square
iii) a multiple of 2 and 3.​

Answer 1

Answer:

I) 33,55 etc.

iii) multiple of 2 is 4,6,8,10 etc. & multiple of 3 is 6,9,12 etc.

Hope it is helpful..

Answer 2

Answer:

There are 30 cards from which one card is drawn .

Total number of elementary events =n(S)=30

(i) From numbers 1 to 30, there are 10 numbers which are multiple of 4 or 6 i.e. {4,6,8,12,16,18,20,24,28,30}

Favorable number of events =n(E)=10

Probability of selecting a card with a multiple of 4 or 6=

n(S)

n(E)

=

30

10

=

3

1

(ii) From numbers 1 to 30, there are 2 numbers which are multiple of 3 and 5 i.e. {15,30}

Favorable number of events =n(E)=2

Probability of selecting a card with a multiple of 3 and 5=

n(S)

n(E)

=

30

2

=

15

1

(iii) From numbers 1 to 30, there are 14 numbers which are multiple of 3 or 5 i.e. {3,5,6,9,10,12,15,18,20,21,24,25,27,30}

Favorable number of events =n(E)=14

Probability of selecting a card with a multiple of 3 or 5=

n(S)

n(E)

=

30

14

=

15

7

Step-by-step explanation:

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