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  • Cards marked with numbers to (one number on one card) are placed in a box and mixed thoroughly. One card is dr

Cards marked with numbers 5 to 50 (one number on one card) are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the card taken out is (i) a prime number less than 10, (ii) a number which is a perfect square.

 

 

 
 
 
 
 

Answers (1)

Given cards with numbers 5 to 50

Total number of cards =46

(i) Prime numbers b/w 5 and 10 \Rightarrow \frac{prime \; no.\; b/w\; 5\; to\; 10 }{total\; no.\; of\; cards}

\Rightarrow \frac{2}{46}=\frac{1}{23}

(ii) Cards with perfect square b/w 5 and 50

\Rightarrow 9,16,25,36,49

n(A)= No. of cards with perfect squares=5

n(T)= total no. of cards =46

\Rightarrow P(A)=\frac{n(A)}{n(T)}=\frac{5}{46}

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Safeer PP

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