In each of the following experiments,specify | vedclass

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(A) Let the coins be represented by their values: $1, 2, 5$.Since he takes out two coins one after the other,the order matters.The first coin can be a

Vedclass · Accepted Answer

$S = \{ (1, 2), (1, 5), (2, 1), (2, 5), (5, 1), (5, 2) \}$

Vedclass · Answer

(A) Let the coins be represented by their values: $1, 2, 5$.Since he takes out two coins one after the other,the order matters.The first coin can be any of the three: $1, 2, 5$.If the first coin is $1$,the second can be $2$ or $5$. Outcomes: $(1, 2), (1, 5)$.If the first coin is $2$,the second can be $1$ or $5$. Outcomes: $(2, 1), (2, 5)$.If the first coin is $5$,the second can be $1$ or $2$. Outcomes: $(5, 1), (5, 2)$.Thus,the sample space is $S = \{ (1, 2), (1, 5), (2, 1), (2, 5), (5, 1), (5, 2) \}$.

In each of the following experiments,specify the appropriate sample space: $A$ boy has a $1$ rupee coin,a $2$ rupee coin,and a $5$ rupee coin in his pocket. He takes out two coins out of his pocket,one after the other.

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