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Plzz. Answer.. Q. No. 10 to 12

Q10. In figure $\angle $PQR = 100° where P, Q and R are points on the circle with centre O. Find $\angle $POR in the quadrilateral

Q11. The length, breadth and height of a room are 5 m, 4 and 3 m respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of Rs.7.50 per m^{2}.

Q12. Two coins are tossed simultaneously 500 times, and we get

Two heads : 105 times, One head : 275 times,

Find the probability of occurrence of each of these events.

$Q12.LetEbetheeventofgettingtwoheadsin500tossesoftwocoins,andFbetheeventofgettingoneheadin500tossesoftwocoins\phantom{\rule{0ex}{0ex}}Now,totalno.ofoutcomes=500,twoheadscomeup105timesandoneheadcomesup275times.\phantom{\rule{0ex}{0ex}}Then,P\left(E\right)=\frac{No.offavourableoutcomes}{Totalno.ofoutcomes}=\frac{105}{500}=\frac{210}{1000}=0.21\phantom{\rule{0ex}{0ex}}andP\left(F\right)=\frac{No.offavourableoutcomes}{Totalno.ofoutcomes}=\frac{275}{500}=0.55$

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