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Required Probability = P(Spade) + P(Ace) - P(Spade) x P(Ace) = ^{1}/_{4} + ^{1}/_{13} - ^{1}/_{52} = ^{4}/_{13}

ಉತ್ತರ: (d) ^{1}/_{4}

3 ಶಿರ ಸಮ್ಭಾವನಿಯತೆ = ^{1}/_{2} x ^{1}/_{2} x ^{1}/_{2} = ^{1}/_{8}

3 ಪುಚ ಸಮ್ಭಾವನಿಯತೆ = ^{1}/_{2} x ^{1}/_{2} x ^{1}/_{2} = ^{1}/_{8}

3 ಶಿರ ಅಥವ 3 ಪುಚ ಸಮ್ಭಾವನಿಯತೆ = ^{1}/_{8 }+ ^{1}/_{8} = ^{1}/_{4}

ಉತ್ತರ: (a) sin^{2}Θ

(1 + cosΘ)(1 - cosΘ) = 1 - cos^{2}Θ = sin^{2}Θ

[sin^{2}Θ + cos^{2}Θ = 1]

Answer: (a) sin^{2}Θ

[From the identity: sin^{2}Θ + cos^{2}Θ = 1]

Answer: (d) ^{1}/_{4}

Prob. of 3 heads = ^{1}/_{2} x ^{1}/_{2} x ^{1}/_{2} = ^{1}/_{8}

Prob. of 3 tails = ^{1}/_{2} x ^{1}/_{2} x ^{1}/_{2} = ^{1}/_{8}

Prob. of 3 heads OR 3 tails = ^{1}/_{8 }+ ^{1}/_{8} = ^{1}/_{4}

(b) Un-issued share capital

(d) No separation between management and ownership

(d) Production units