APS, Golconda | Priyanka Gupta: March 2020

Saturday 28 March 2020

CLASS 10 / MATHS / STATISTICS / mind map

CLASS 10 / MATHS / 2019-20 BOARD QUESTION / PROBABILITY + AREA OF CIRCLE

BOARD QUESTIONS 2019-2020

(PROBABILITY + AREA RELATED TO CIRCLE)

1 MARK

1. The probability of an event that is sure to happen is ________

2. If the probability of an event E happening is 0.023, then P(E’) = __________

3. The Probability of an impossible event is ___

4. A coin is tossed twice. Find the probability og getting head both the times.

5. A dice is thrown once. If getting a six, is a success, then find the probability of a failure.

2 MARKS

6. A letter is selected at random from the set of English alphabets. What is the probability that it is a vowel?

7. 14 defective bulbs are accidentally mixed up with 98 good ones. It is not possible to just look at the bulb and tell whether it is defective or not. One bulb is taken out at random from this lot. Determine the probability that the bulb taken out is a good one.

3 MARKS

8. In the given AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7 cm, then find the area of shaded region.

9. In the given figure ABCD is a square with side 7 cm. a circle is drawn circumscribing the square. Find the area of the shaded region.

10. In the given figure, square OPQR is inscribed in a quadrant OABC of a circle. If the radius of circle is (6 √2) cm, find the area of shade region.

11. the given figure, ABCD is a parallelogram. A semicircle with centre O and the diameter AB has been drawn and it passes through D. if AB = 12 cm and OD ⊥ AB, then find the area of the shaded region. (use pi = 3.14).

12. Read the following passage and answer the questions given at the end of the passage:

DIWALI FAIR

A game in a booth at a Diwali fair involves using a spinner first. Then, if the spinner stops on an even number, the player is allowed to pick a marble from a bag. The spinner and the marbles in the bag are represented in the given figure.

Prizes are given, when a black marble is picked. Shweta plays the game once.

i) What is the probability that she will be allowed to pick a marble from bag?

ii) Suppose she is allowed to pick a marble from the bag, what is the probability of getting a prize, when it is given that the bag contains 20 balls out of which 6 are black?