1.

A box contains 90 discs which are numbered from 1 to 90.If one disc is drawn at random from the box, find the probability that it bears ()a two digit number ()a perfect square () a prime number greater than 7.​

Answer»

Let G be the event of drawing a disc with a number divisible by 5 from the BOX of discs numbered from 1 to 90Numbers divisible by 5 from 1 to 90=5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90No. of favorable outcomes=18Total no. of possible outcomes =90We know that, Probability P(G) = (Total no.of possible outcomes)(No.of favorable outcomes) = 9018 = 51 Therefore, the probability of drawing a disc with a number divisible by 5 from the box of discs numbered from 1 to 90= 51



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