The probability mass function of random variable X is given by
$$P[X=r]=\left\{\begin{array}{ll}
\frac{{ }^n C_r}{32}, & n, r \in \mathbb{N} \\
0, & \text { otherwise }
\end{array} \text {, then } P[X \leq 2]=\right.$$
Three fair coins numbered 1 and 0 are tossed simultaneously. Then variance Var (X) of the probability distribution of random variable $$\mathrm{X}$$, where $$\mathrm{X}$$ is the sum of numbers on the uppermost faces, is
The incidence of occupational disease in an industry is such that the workmen have a $$10 \%$$ chance of suffering from it. The probability that out of 5 workmen, 3 or more will contract the disease is
If $$P(A \cup B)=0.7, P(A \cap B)=0.2$$, then $$P\left(A^{\prime}\right)+P\left(B^{\prime}\right)$$ is
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