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Probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsProbability1 Mark
Question
State whether the statements are True or False.
If A and B are two candidates seeking admission in an engineering College. The probability that A is selected is .5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.7?
✓

Answer

False.
Solution:
Given that, $\text{P(A)}=0.5,\text{P}(\text{A}\cap\text{B})<0.3$
Now, $\text{P(A)}\times\text{P(B)}\leq0.3$
$\Rightarrow0.5\times\text{P(B)}\leq0.3$
$\Rightarrow\text{P(B)}\leq0.6$

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