NDA Mathematics 3 September 2023 | Probability Question 18 | Mathematics

A fair coin is tossed 6 times. What is the probability of getting a result in the 6^th toss which is different from those obtained in the first five tosses ?

$\frac{7}{16}$

$\frac{1}{16}$

$\frac{1}{32}$

$\frac{1}{64}$

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

In a class, there are n students including the students P and Q. What is the probability that P and Q sit together if seats are assigned randomly?

$\frac{1}{n}$

$\frac{2}{n}$

$\frac{4}{n}$

$\frac{1}{2n}$

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

Three boys P, Q, R and three girls S, T, U are to be arranged in a row for a group photograph.

What is the probability that all three boys sit together?

$\frac{1}{5}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{12}$

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

Three boys P, Q, R and three girls S, T, U are to be arranged in a row for a group photograph.

What is the probability that boys and girls sit alternatively?

$\frac{4}{5}$

$\frac{1}{10}$

$\frac{5}{6}$

$\frac{1}{7}$

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