Question

mrs. bready has a large bag filled with red and green cards. she tells the class that 15% of the cards are red and 85% are green. at the end of each class, she mixes the cards, reaches inside the bag, and draws out one card at random. if a red card is drawn, the students will not be assigned homework. she shows the class the card, and then places the card back in the bag. carla would like to carry out a simulation to estimate the number of days it will take in order to get a
o homework\ day. what is an appropriate assignment of digits? let 00 - 14 = red. let 15 - 99 = green. let 15 - 99 = red. let 00 - 14 = green. let 00 - 15 = red. let 16 - 99 = green. let 16 - 99 = red. let 00 - 15 = green.

Explanation:

Step1: Determine the range for red cards

Since 15% of the cards are red, we need to assign 15% of the two - digit numbers (00 - 99) to red. There are 100 two - digit numbers (00 - 99). 15% of 100 is 15. So we can assign 15 consecutive two - digit numbers to red.

Step2: Analyze each option

• Option 1: Let \(00 - 14=\text{red}\) (15 numbers) and \(15 - 99=\text{green}\) (85 numbers). This is correct because 15% of the 100 two - digit numbers (\(00 - 99\)) are assigned to red.
• Option 2: Let \(15 - 99=\text{red}\) (85 numbers) and \(00 - 14=\text{green}\) (15 numbers). This is wrong as it assigns 85% to red and 15% to green.
• Option 3: Let \(00 - 15=\text{red}\) (16 numbers). 16% of 100 is 16, not 15%. So this is wrong.
• Option 4: Let \(16 - 99=\text{red}\) (84 numbers) and \(00 - 15=\text{green}\) (16 numbers). This is wrong as it does not match the 15% red and 85% green proportion.

Answer:

Let \(00 - 14=\text{red}\). Let \(15 - 99=\text{green}\) (the first option).