Probability Analysis for Chloe's Card Game

Probability Analysis for Chloe's Card Game Question: Chloe has a set of cards made up of the shapes. Each card has one shape on it and all of the cards are the same size. Chloe shuffles the cards and picks one card. What is the probability of picking a card with a rectangle on it? Responses A12B13C14D16 Question 2 Part 2: Chloe replaces the first card, shuffles the cards, and picks another card. What is the probability of picking a card with a blue figure? Responses A 1 2 B 1 3 C 1 4 D Answers: Let's break down the problem step by step to determine the probability in both parts of the question. Question 1: Probability of Picking a Rectangle First, we need to know how many cards Chloe has and how many of them are rectangles. Assuming Chloe's set of cards consists of different shapes, let's denote:   Number of rectangle cards = ( R ) Total number of cards = ( T ) The probability of picking a rectangle card (( P(R) )) can be determined using the formula: P( R)= R T Without knowing the specific counts of each shape, we will analyze the options provided (A, B, C, D) based on typical distributions. Assuming: If Chloe’s set contains:   2 shapes as rectangles 6 total shapes (for example: 2 rectangles, 2 circles, 2 triangles) Then: 2 1 P(R)= = 6 3 With that assumption, the answer to the first question would be: 1 Answer: B) 3 Question 2: Probability of Picking a Blue Figure Now, Chloe replaces the first card and picks another card. To find the probability of picking a blue figure (( P(B) )), we again need to know how many of the cards are blue and the total number of cards:   Number of blue cards = ( B ) Total number of cards = ( T ) The probability of picking a blue figure is given by: P( B)= B T Assuming:   2 blue cards 6 total shapes (similar distribution as before) Then: 2 1 P( B)= = 6 3 1 Answer: B) 3 Conclusion In both parts of the problem, we have assumed a standard distribution for simplicity. In a real scenario, additional data about the shapes and colors would lead to a more precise answer. Nonetheless, based on the analysis: 1  For the first question, the probability of picking a rectangle is 3 .  For the second question, the probability of picking a blue figure is also 3 1 Further Exploration For more information on probabilities, you may explore the following resources:    Khan Academy: Probability Math is Fun: Probability Statistics How To: What is Probability?