Probability Quiz

Probability of event can be ....................

• 0.125

• - 45 %

• 100 %

• 1.26

 $if\ \ \ ,\ p\left(A\right)=4p\left(A^-\right)$  
Then P( A ) = .......

•  $\frac{1}{5}$  

•  $\frac{4}{5}$  

• 1

•  $\frac{3}{5}$  

A bag contains 1 to 20 cards 1 card is chosen randomly

the probability of the chosen card is perfect square

• $\frac{4}{5}$

• $\frac{1}{4}$

• $\frac{3}{20}$

• $\frac{1}{5}$

 $\left(1\right)\ p\left(\ X\ \cap Y\right)=.....\ ,\ \ \left(2\right)\ X\cap Y\ =.....$  

X , Y are mutually exclusive 

•  $\left(1\right)\ 0\ \ \ \ \left(2\right)\phi$  

•  $\left(1\right)\ \phi\ \ ,\ \left(2\right)\ \ 0$  

•  $\left(1\right)\ \ 0\ \ \left(2\right)\ 0$  

•  $\left(1\right)\ \ \phi\ \ \ \ \ \left(2\right)\ \ \ \phi$  

 $p\left(A\right)=\frac{1}{2}\ \ ,\ p\left(B\right)=\frac{2}{5}\ ,\ p\left(A\cap B\right)=\frac{1}{10}\ \ ,\ P\left(A\cup B\right)=......$  

• 1

•  $\frac{4}{5}$  

•  $\frac{9}{10}$  

• 0

 $\left(A\right)=0.7\ \ ,\ p\left(B\right)=\ 0.6\ ,\ p\left(A\cap B\right)=0.4$  
Probability of  : 

occurring one event but not the other

• 0.3

• 0.2

• 0.9

• 0.5

 $p\left(A\right)=\frac{1}{4}\ ,\ p\left(B\right)=\frac{2}{3}\ \ \ ,\ p\left(A\cap B\right)=\frac{1}{6}\ ,\ \ A\ \subset\ B$  
 $p\ \left(A\cup B\right)\ =$  

•  $\frac{3}{4}$  

•  $\frac{2}{3}$  

•  $\frac{1}{4}$  

• 0

 $p\left(B\right)=\frac{1}{3},\ p\left(A-B\right)=\frac{1}{4}\ ,\ B\ \subset\ A$ 

 $P\left(A\right)=....$   

•  $\frac{7}{12}$  

•  $\frac{1}{3}$  

•  $\frac{1}{2}$  

•  $\frac{2}{3}$  

if we threw a coin 1000 times then the expected number of heads = .......

 $if\ 2\ p\left(A\right)=3\ p\ \left(\ A^-\right)\$  
 $p\left(A\right)=.....$  

•  $\frac{3}{5}$  

•  $\frac{5}{3}$  

•  $\frac{3}{2}$  

•  $\frac{2}{3}$