1
TG EAPCET 2025 (Online) 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the mean and variance of a binomial distribution are $\frac{4}{3}$ and $\frac{10}{9}$ respectively, then $P(X \geq 6)=$

A

$\frac{41}{6^8}$

B

$\frac{741}{6^8}$

C

$1-\frac{741}{6^8}$

D

$1-\frac{41}{6^8}$

2
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If a number $x$ is drawn randomly from the set of numbers $\{1,2,3, \ldots ., 50\}$, then the probability that number $x$ that is drawn satisfies the inequation $x+\frac{10}{x} \leq 11$ is

A

$\frac{4}{5}$

B

$\frac{9}{50}$

C

$\frac{4}{25}$

D

$\frac{1}{5}$

3
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If a coin is tossed seven times, then the probability of getting exactly three heads such that number two heads occur consecutively is

A

$\frac{5}{64}$

B

$\frac{5}{32}$

C

$\frac{5}{128}$

D

$\frac{35}{128}$

4
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two cards are drawn randomly from a pack of 52 playing cards one after the other with replacement. If $A$ is the event of drawing a face card in first draw and $B$ is the event of drawing a clubs card in second draw, then $P\left(\frac{\bar{B}}{A}\right)=$

A

$\frac{11}{12}$

B

$\frac{12}{13}$

C

$\frac{3}{4}$

D

$\frac{1}{4}$

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