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Exercise 13.1

A die is thrown three times, find the probability that $4$ appears on the third toss if it is given that $6$ and $5$ appear respectively on first two tosses.

CBSE, Class 12, Exercise 13.1, Maths, Probability, RD Sharma

As per the given question, $n\;(A)\;=\;36$ And, let $B$ be the event of $6\;and\;5$ appearing respectively on first two tosses, if the die is tossed three times

Evaluate the following:
(i) $i^{457}$
(ii) $i^{528}$

CBSE, Class 11, Complex Numbers, Exercise 13.1, Maths, RD Sharma

Solution: (i) $i^{457}$ Let's simplify, $i^{457} = i ^{(456 + 1)}$ $= i^{4(114)} \times i$ $= (1)^{114} \times i$ $= i [\text {as}\ i^{4} = 1]$ (ii) $i^{528}$ Let's simplify, $i^{528} = i^{4(132)}$...

A die is thrown three times, find the probability that $4$ appears on the third toss if it is given that $6$ and $5$ appear respectively on first two tosses.

Evaluate the following:
(i) $i^{457}$
(ii) $i^{528}$

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A die is thrown three times, find the probability that appears on the third toss if it is given that and appear respectively on first two tosses.

Evaluate the following: (i) (ii)

A die is thrown three times, find the probability that $4$ appears on the third toss if it is given that $6$ and $5$ appear respectively on first two tosses.

Evaluate the following:
(i) $i^{457}$
(ii) $i^{528}$