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PROBABILITY — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPROBABILITY1 Mark
Question
P(A) P(B) P(A$\cap$B) P(A$\cup$B)
$\frac 13$ $\frac 15$ $\frac 1{15}$ _____
✓

Answer

We know that
$P(A\cup B) = P(A) + P(B) - P(A\cap B)$
Putting Values
$P(A\cup B) = \frac 13 + \frac 15 - \frac 1{15}$
$P(A\cup B) = \frac {5\; +\; 3\; -\; 1}{15}$
$P(A\cup B) = \frac 7{15}$
Hence $P(A\cup B) = \frac 7{15}$

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