(D) Let $T$ be the event that India wins the toss and $V$ be the event that India wins the match.Given:$P(T) = 3/4$$P(T^c) = 1 - 3/4 = 1/4$$P(V|T) = 4

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(D) Let $T$ be the event that India wins the toss and $V$ be the event that India wins the match.Given:$P(T) = 3/4$$P(T^c) = 1 - 3/4 = 1/4$$P(V|T) = 4/5$$P(V|T^c) = 1/2$Using the Law of Total Probability:$P(V) = P(T) \times P(V|T) + P(T^c) \times P(V|T^c)$$P(V) = (3/4 \times 4/5) + (1/4 \times 1/2)$$P(V) = 12/20 + 1/8 = 3/5 + 1/8$$P(V) = (24 + 5) / 40 = 29/40$Therefore,the chance of India's victory is $29/40$.

Competitive Quantitative Aptitude Probability Probability

Medium

The chance of India winning the toss is $3/4$. If it wins the toss,then its chance of victory is $4/5$,otherwise it is only $1/2$. Then the chance of India's victory is

A
$1/5$
B
$3/5$
C
$3/40$
D
$29/40$

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The chance of India winning the toss is $3/4$. If it wins the toss,then its chance of victory is $4/5$,otherwise it is only $1/2$. Then the chance of India's victory is

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