1
KCET 2019
MCQ (Single Correct Answer)
+1
-0

If '$$X$$' has a binomial distribution with parameters $$n=6, p$$ and $$P(X=2)=12$$, $$P(X=3)=5$$ then $$P=$$

A
$$\frac{1}{2}$$
B
$$\frac{5}{12}$$
C
$$\frac{5}{16}$$
D
$$\frac{16}{21}$$
2
KCET 2019
MCQ (Single Correct Answer)
+1
-0

A man speaks truth 2 out of 3 times. He picks one of the natural numbers in the set $$S=\{1,2,3,4,5,6,7\}$$ and reports that it is even. The probability that is actually even is

A
$$\frac{1}{10}$$
B
$$\frac{2}{5}$$
C
$$\frac{3}{5}$$
D
$$\frac{1}{5}$$
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