The probabilities of a student getting I, II and III division in an examination are frac{1}{10},frac{3}{5} and frac{1}{4} respectively. The probability that the student fails

Q: The probabilities of a student getting I, II and III division in an examination are $\frac{1}{10},\frac{3}{5}$ and $\frac{1}{4}$ respectively. The probability that the student fails in the examination is.

$\text{P(A)}=\frac{1}{10},\text{P(B)}=\frac{3}{5},\text{P(C)}=\frac{1}{4}$ Required probability $=\text{P}(\overline{\text{A}}\cap\overline{\text{B}}\cap\overline{\text{C}})$ Required probability $=\text{P}(\overline{\text{A}})\text{ P}(\overline{\text{B}})\text{ P}(\overline{\text{C}})$ Required probability $=(1-\text{P(A)})(1-\text{P(B)})(1-\text{P(C)})$ Required probability $=\Big(1-\frac{1}{10}\Big)\Big(1-\frac{3}{5}\Big)\Big(1-\frac{1}{4}\Big)$ Required probability $=\frac{27}{100}$

M.C.Q (1 Marks)

GSEB - English Medium

The probabilities of a student getting I, II and III division in an examination are $\frac{1}{10},\frac{3}{5}$ and $\frac{1}{4}$ respectively. The probability that the student fails in the examination is.

A$\frac{197}{200}$
B$\frac{27}{100}$
C$\frac{83}{100}$
D
None of these.

STD 12 Science
Maths
Probability
Exemplar

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