Theoretical Probability Practice Problems

<p>David works at an automobile dealership. He is going to randomly select a key to a vehicle to test drive. There are `12` sedans, `18` hatchbacks, and `20` SUVs at the dealership. </p><p>What is the probability David selects a key to a sedan to test drive? </br><highlight data-color="#666" data-style="italic">If necessary, round your answer to 2 decimal places. </highlight></p>

<p>You flip a coin that is heads on one side and tails on the other. </p><bytecoin data-props='{"size":"medium","face":"heads"}'></bytecoin><bytecoin data-props='{"size":"medium","face":"tails"}'></bytecoin><p>What is the probability of each event listed below? </br><highlight data-color="#666" data-style="italic">Write your answer as a fraction, or a decimal rounded to the nearest hundredth, if necessary.</highlight></p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><ul><li>P(heads)</li><li>P(NOT heads)</li><li>P(heads OR tails)</li><li>P(heads AND tails)</li></ul></selectivedisplay>

<p>In an assortment pack of chocolate nut bars, there are `4` with cashew nuts, `2` with hazelnuts, and `2` with almond nuts. Liam selects a chocolate nut bar at random. </p><p>What is the probability that he selected a chocolate bar with cashew nuts? </br><highlight data-color="#666" data-style="italic">If necessary, round your answer to 2 decimal places. </highlight></p>

<p>A piggy bank contains `10` quarters and `6` dimes. </p><p>If you choose a coin at random from the piggy bank, what is the probability of choosing a dime? </br><highlight data-color="#666" data-style="italic">If necessary, round your answer to 2 decimal places.</highlight></p>

<p>A spinner is divided into `8` equal sections. </p><spinner data-items='[{"type":"text","value":"A"},{"type":"text","value":"B","arrow":true},{"type":"text","value":"C"},{"type":"text","value":"D"},{"type":"text","value":"E"},{"type":"text","value":"F"},{"type":"text","value":"G"},{"type":"text","value":"H"}]' data-size="large"></spinner><p>When the spinner is spun, what is the probability of the events listed below? </br><highlight data-color="#666" data-style="italic">Write your answer as a fraction, or a decimal rounded to the nearest hundredth, if necessary.</highlight></p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><ul><li> P(spinning F)</li><li>P(not spinning C)</li><li>P(spinning A or C)</li><li>P(spinning C and E)</li></ul></selectivedisplay>