You’re working as a game designer for an educational gaming company. Your team is developing a new card game to teach probability concepts to college students. The game uses a special deck of [latex]40[/latex] cards with different colored backgrounds (red, blue, green, yellow) and different symbols (star, circle, triangle). Your task is to analyze the probability distribution to ensure the game is fair and engaging.

The deck contains:

• [latex]12[/latex] red cards ([latex]4[/latex] with stars, [latex]4[/latex] with circles, [latex]4[/latex] with triangles)
• [latex]10[/latex] blue cards ([latex]4[/latex] with stars, [latex]3[/latex] with circles, [latex]3[/latex] with triangles)
• [latex]10[/latex] green cards ([latex]3[/latex] with stars, [latex]4[/latex] with circles, [latex]3[/latex] with triangles)
• [latex]8[/latex] yellow cards ([latex]2[/latex] with stars, [latex]3[/latex] with circles, [latex]3[/latex] with triangles)