Priya’s cat is pregnant with a litter of 5 kittens. Each kitten has a 30% chance of being chocolate brown. Priya wants to know the probability that at least 2 of the kittens will be chocolate brown.

To simulate this, Priya put 3 white cubes and 7 green cubes in a bag. For each trial, Priya pulled out and returned a cube 5 times. Priya conducted 12 trials.

A team has a 75% chance to win each of the 3 games they will play this week. Clare simulates the week of games by putting 4 pieces of paper in a bag, 3 labeled “win” and 1 labeled “lose.” She draws a paper, writes down the result, then replaces the paper and repeats the process two more times. Clare gets the following result: win, win, lose. What can Clare do to estimate the probability the team will win at least 2 games?

1. List the sample space for selecting a letter at random from the word “PINEAPPLE.”
2. A letter is randomly selected from the word “PINEAPPLE.” Which is more likely, selecting “E” or selecting “P”? Explain your reasoning.

On a graph of side length of a square vs. its perimeter, a few points are plotted.

1. Add at least two more ordered pairs to the graph.

   

   Two points are plotted in the coordinate plane with the origin labeled “O”. The horizontal axis is labeled “perimeter” and the numbers 0 through 20 are indicated. The vertical axis is labeled “side length” and the numbers 0 through 8 are indicated. The two points plotted are 9 comma 2 point 2 5 and 20 comma 5.

2. Is there a proportional relationship between the perimeter and side length? Explain how you know.