In a class of 125 students 70 passed in Mathe | vedclass

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Question

(a) Consider the following events :

$A = $ $A$ student is passed in Mathematics,

$B = $ $A$ student is passed in Statistics.

Then $P(A) = \fr

Vedclass · Accepted Answer

$\frac{{13}}{{25}}$

Vedclass · Answer

(a) Consider the following events :

$A = $ $A$ student is passed in Mathematics,

$B = $ $A$ student is passed in Statistics.

Then $P(A) = \frac{{70}}{{125}},$ $P(B) = \frac{{55}}{{125}},$ $P(A \cap B) = \frac{{30}}{{125}}.$

Required probability is

$P(A \cap \bar B) + P(\bar A \cap B)$$ = P(A) + P(B) - 2P(A \cap B)$

$ = \frac{{70}}{{125}} + \frac{{55}}{{125}} - \frac{{60}}{{125}} = \frac{{65}}{{125}} = \frac{{13}}{{25}}.$

In a class of $125$ students $70$ passed in Mathematics, $55$ in Statistics and $30$ in both. The probability that a student selected at random from the class has passed in only one subject is

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