Question

Can someone help me solve this

Answer 1

Answer is given below with explanations.

Explanation:

`a \: bag \: has \: 5\: apples \: , \:10 \: oranges \: and \: 5 \: peaches \\ n(S) = 5 + 10 + 5 \\ n(S) = 20 \\ let \: A \: be \: an \: event \: of \: pulling \: out \: an \: apple \\ P(A) = (n(A))/(n(S)) \\ n(A) = 5 \\ P(A) = (5)/(20) \\ (reduced \: fraction) = (1)/(4) \\ (decimal) = 0.25 \: percent \\ this \: is \: an \: example \: of \\ \: theoritical \: probability \\ sample \: space \: is \: given \: in \: image\\ in \: this \: case \: this \: event \: is \: compound \: event. \\ let \: O \: be \: an \: event \: of \: pulling \: an \: orange \: ball \\ n(O) = 10 \\ P(O) = (n(O))/(n(S)) \\ P(O) = (10)/(20) \\ (reduced \: fraction \: ) = (1)/(2) \\ decimal = 0.50 \: percent \\ the \: pulling \: of \: orange \: is \: more \: likely \: to \: occur. \\ because \: it \: has \: highest \: probability \: percentage.`