A dice is rolled and a coin is tossed. Find t | vedclass

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(A) The sample space for rolling a die is ${1, 2, 3, 4, 5, 6}$. The odd numbers are ${1, 3, 5}$.The probability of getting an odd number on the die is

Vedclass · Accepted Answer

$1/4$

Vedclass · Answer

(A) The sample space for rolling a die is ${1, 2, 3, 4, 5, 6}$. The odd numbers are ${1, 3, 5}$.The probability of getting an odd number on the die is $P(A) = \frac{3}{6} = \frac{1}{2}$.The sample space for tossing a coin is ${H, T}$. The probability of getting a head is $P(B) = \frac{1}{2}$.Since these are independent events,the required probability is $P(A \cap B) = P(A) 	imes P(B) = \frac{1}{2} 	imes \frac{1}{2} = \frac{1}{4}$.

$A$ dice is rolled and a coin is tossed. Find the probability that the die shows an odd number and the coin shows a head.

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