Question

A box contains cards bearing numbers from 6 to 70. If one card is drawn at random from the box , find the probability that it bears (i) a one digit number. (ii) a number divisible by 5. (iii) an odd number less than 30. (iv) a composite number between 50 and 70.

Answer 1

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Here's your answer

Total outcomes=65

I) Favourable outcome={6,7,8,9}

P(one digit no) =4/65

II) Favourable outcome={10,15,20,25,30,35,40,45,50,55,60,65,70}

P(no. divisible by 5)=13/65=1/5

III) Favourable outcome={7,9,11,13,15,17,19,21,23,25,27,29}

P(an odd no<30)=12/65

IV) Favourable outcome={51,52,54,55,56,58,60,62,63,64,65,66,68}

P(a composite no)=13/65=1/5

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