Short Answers of Probability (Mathematics B /4MB1)

 Probability (2014-2016)

1.   (a) $0.94 $ (b) $0.06 $ 
2.   (a) $\frac{5}{7}, \frac{4}{3}, \frac{1}{5}, \frac{5}{6}, \frac{1}{6} $ (b) $ \frac{2}{35} \quad $ (c) $ \frac{37}{210} $
3.   (a) $\frac{4}{9}, \frac{4}{5}, \frac{1}{5}, \frac{3}{6}, \frac{3}{6}$ (b) show (c) $\frac{1}{3}$.
4.   (a) $ \frac{1}{4} ; \frac{3}{5}, \frac{2}{5} ; \frac{3}{5}, \frac{2}{5}$ (b) $ \frac{6}{20}$ (c) $ \frac{18}{20} $
5.   (a)(i) 7 (ii) 6  (iii) 5.3  (b) $\frac{24}{870} \quad$ (c) $\frac{132}{159}$
6.   (a) $\frac{3}{10} , \frac{6}{9}, \frac{3}{9} , \frac{7}{9}, \frac{2}{9}$ (b) $\frac{42}{90}$
7.   (a) $\frac{20}{50}, \frac{29}{49}, \frac{20}{49}, \frac{30}{49}, \frac{19}{49}$ (b) $\frac{870}{2450}$ (c) $\frac{2100}{2970}$
8.   (a) $\frac{4}{9}$ (b) $\frac{1}{6}$ (c) $\frac{5}{18} \quad $
9.   (a) 120,96,48,24 (b) $\frac {120}{360}$ (c) $\frac {2}{5}$ (d) $0.204$
10.   (a) $0.24$ (b) $144 \quad$
11.   (a) $\frac{7}{20}$ (b) $\frac{132}{380}$
12.   (a) $\frac{4}{11} ; \frac{6}{10}, \frac{4}{10} ; \frac{7}{10}, \frac{3}{10} \quad$ (b) (i) $\frac{28}{110}$ (ii) $\frac{68}{110}$ (c) show
13.   (a) $x=\frac{1}{7} / 0.143$ (b) $\frac{13}{49}, 0.265,0.266$.
14.   (a) $\frac{8}{14}, \frac{6}{14}, \frac{9}{14}, \frac{5}{14}, \frac{7}{13}, \frac{6}{13}, \frac{5}{13}, \frac{8}{13}, \frac{5}{13}, \frac{4}{13}$ (b)(i) $\frac{12}{65}$ (ii) $\frac{53}{65}$ (iii) $\frac{60}{91}$
15.   (a) 36 (b) y=44
16.   (a) $\frac{4}{5}, \frac{1}{5}, p, 1-p, q, 1-q \quad$ (b)(i) $\frac{1}{5} \times(1-q)=\frac{3}{20} \quad$ (ii) $q=\frac{1}{4}$ (c)(i) $\frac{4}{5}(1-p)+\frac{1}{5} \times \frac{1}{4}=\frac{7}{12}$ (ii) $p=\frac{1}{3}$ (d) $\frac{29}{150}$
17.   (a) $\frac{1}{3}, \frac{2}{3}, p, 1-p, \frac{4}{5}, \frac{1}{5}$ (b) $\frac 13 p+ \frac 23 \times \frac 45$ (c) $p=\frac{1}{4} \quad $
18.   $\frac 19$
19.   (a) $ 0.25,0.7,0.3,0.6,0.4 $ (b)(i) $ 0.1$  (ii) $ 0.325 $ (c) $ 0.31$