A coin and a six-faced die,both unbiased,are | vedclass

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(C) Let $E$ be the event of getting a head from a coin.Let $F$ be the event of getting an odd number $(1, 3, 5)$ from a die.The probability of getting

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$\frac{1}{4}$

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(C) Let $E$ be the event of getting a head from a coin.Let $F$ be the event of getting an odd number $(1, 3, 5)$ from a die.The probability of getting a head is $P(E) = \frac{1}{2}$.The probability of getting an odd number on a six-faced die is $P(F) = \frac{3}{6} = \frac{1}{2}$.Since the coin and the die are independent,the events $E$ and $F$ are independent.Therefore,the probability of both events occurring is $P(E \cap F) = P(E) 	imes P(F)$.$P(E \cap F) = \frac{1}{2} 	imes \frac{1}{2} = \frac{1}{4}$.

$A$ coin and a six-faced die,both unbiased,are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die is:

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