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 $5 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 an odd number and spinning red.

* +$5
* $0
* -$5
* +$1

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 $5 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 an odd number and spinning red.

* +$5
* $0
* -$5
* +$1

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Net Gain" ], "current_concepts": [ "Expected Value", "Net Gain" ] } ## Identify the cost to play and the payout for the event $$ \begin{aligned} \text{Cost to play} &= \$5 \ \text{Payout for rolling an odd number and spinning red} &= \$5 \end{aligned} $$ ## Calculate the net gain $$ \begin{aligned} \text{Net Gain} &= \text{Payout} - \text{Cost to play} \ \text{Net Gain} &= \$5 - \$5 \ \text{Net Gain} &= \$0 \end{aligned} $$

+\$5

\$0

-\$5

+\$1

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Expected Value" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the cost to play and the payout for the event

Calculate the net gain

Answer: