g.pr.10.6 (mc)

rachel wants to play a game at a casino where she will roll a fair die and spin a spinner with the colors red, blue, green, yellow, and orange evenly spread out. the game costs \$1 to play and there are 3 ways to win.

* roll an odd number and spin red-win \$5
* roll a 1 and spin blue or green-win \$10
* roll a 6 and spin yellow-win \$20

find the net gain of rolling a 6 and spinning yellow.

Question

g.pr.10.6 (mc)

rachel wants to play a game at a casino where she will roll a fair die and spin a spinner with the colors red, blue, green, yellow, and orange evenly spread out. the game costs \$1 to play and there are 3 ways to win.

* roll an odd number and spin red-win \$5
* roll a 1 and spin blue or green-win \$10
* roll a 6 and spin yellow-win \$20

find the net gain of rolling a 6 and spinning yellow.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Net Gain" ], "new_concepts": [], "current_concepts": [ "Net Gain" ] } ## Identify the payout and cost for the specified outcome $$ \begin{aligned} &\text{Payout for rolling a 6 and spinning yellow} = \$20 \ &\text{Cost to play the game} = \$1 \end{aligned} $$ ## Calculate the net gain $$ \begin{aligned} \text{Net Gain} &= \text{Payout} - \text{Cost} \ &= \$20 - \$1 \ &= \$19 \end{aligned} $$ $19$ dollars { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Statistics", "Expected Value" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the payout and cost for the specified outcome

Calculate the net gain

Answer: