Exercise 17.4
Question 1
(i)Certain to happen
(ii)Impossible to happen
(iii)Can happen but not certain
(iv)Impossible to happen
(v)Can happen but not certain
(vi)Can happen but not certain
(vii)Can happen but not certain
Question 2
Probability = $\frac{\text { no. of events }}{\text { Total no of out comes }}$
No. of events = 1
$\frac{1}{2}$
No. out comes = 2
Probability = $\frac{1}{2}$
Question 3
(i)Event of drawing marble number 5= 1
Total no. of outcomes = 6
Probability (Numbers) =$\frac{1}{6}$
(ii) Event of drawing marble number 2 = 1
Total no. of outcomes = 6
Probability (getting less than 2) =$\frac{1}{6}$
Question 4
(i) Events of getting a number less than 3= 2
Total no. of outcomes = 6
Probability (Getting less than 3)= $\frac{2}{6}$
$P=\frac{1}{3}$
(ii) A prime number
Event of getting a prime number = 3
Total no. of outcomes = 6
Probability = $\frac{3}{6}$
=$1 / 2$
(iii) Event of getting number greater than 2=4
Total no. of outcomes = 6
Probability = $\frac{4}{6}$
$P=2 / 3$
Question 5
(i)Event of drawing a defective mango = 3
Total no. of Outcomes = 24
Probability (Getting a defective mango ) = $\frac{3}{24}$
$\frac{1}{8}$
(ii) Event of drawing a good mango = 21
Total no. of outcomes = 24
Probability (Getting a good mango)=$\frac{21}{24}=\frac{7}{8}$
Question 6
(i)Event of drawing a red card = 26
Total no. of outcomes = 52
Probability $=\frac{26}{52}$
$=\frac{3}{4}$
(ii) Event of drawing a king = 4
Total no. of outcome = 52
Probability = $\frac{4}{52}=\frac{1}{13}$
(iii) A card of speed = Events = 13
Total no. of outcomes = 52
Probability = $\frac{13}{52}$
=$\frac{1}{4}$
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