Q8 of 8 Page 307

What is the probability that a randomly thrown dart that hits the square board in shaded region. (side of square = 4cm)

(Take π = 22/7 and express in percentage)


Here, according to the given condition


Area of the square = side2 = 4 × 4 = 16 cm2


This is also the possible outcome


Area of the circle = π r2 =


Area of the shaded region = area of square – area of circle


= 16 – 12.57 = 3.428 cm2


which is also a favorable outcome


let E be the event of dart hitting the shaded region


∴


= 21.4%


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4

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a) Are the four different colour outcomes equally likely? Explain.


b) Find the probability of drawing each colour marble i.e. , P(green), P(blue), P(red) and P(yellow)


c) Find the sum of their probabilities.

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A letter is chosen from English alphabet. Find the probability of the letters being

a) A vowel


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c) A vowel or a consonant


d) Not a vowel

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Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg):

4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00


Find the probability that any of these bags chosen at random contains more than 5 kg of flour.

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An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained is given in the following table:


Find the probabilities of the following events for a driver chosen at random from the city:


i. The driver being in the age group 18-29 years and having exactly 3 accidents in one year.


ii. The driver being in the age group of 30-50 years and having one or more accidents in a year.


iii. Having no accidents in the year.