Q4 of 8 Page 307

A bag contains five green marbles, three blue marbles, two red marbles, and two yellow marbles. One marble is drawn out randomly.

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.

Here, sample space consists of 5 green marbles, three blue marbles, two red marbles and two yellow marbles. Total number of marbles are = 5 + 3 + 2 + 2 = 12


a) No, the four different color outcomes are not equally likely as green color marbles are maximum in number so the probability of drawing green color marble is most followed by blue color marbles.


b) Let G be the event of drawing green marble


Then P (G) =


Let B be the event of drawing blue marble


Then P (B) =


Let R be the event of drawing a red marble


Then P (R) =


Let Y be the event of drawing a yellow marble


Then P(Y) =


(c) sum of all of the probabilities is =


More from this chapter

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2

A coin is tossed 100 times and the following outcomes are recorded

Head:45 times


Tails:55 times from the experiment


a) Compute the probability of each outcomes.


b) Find the sum of probabilities of all outcomes.

 3

A spinner has four colours as shown in the figure. When we spin it once, find

a) At which colour, is the pointer more likely to stop?


b) At which colour, is the pointer less likely to stop?


c) At which colours, is the pointer equally likely to stop?


d) What is the chance the pointer will stop on white?


e) Is there any colour at which the pointer certainly stops?


 5

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

a) A vowel


b) a letter comes after P


c) A vowel or a consonant


d) Not a vowel

 6

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.