Multiple Choice
The chart below shows the possible options for pants, shirts, and shoes in Tom’s closet. Which tree diagram correctly shows the possible outfits he can wear?
A three column table is shown.· The first column is titled 'Pants' and contains 'jeans left-parenthesis j right-parenthesis' and 'khakis left-parenthesis k right-parenthesis.'
· The second column is titled 'Shirts' and contains 'yellow left-parenthesis y right-parenthesis,' 'blue left-parenthesis b right-parenthesis,' and 'checkered left-parenthesis c right-parenthesis.'
· The third column is titled 'Shoes' and contains 'sneakers left-parenthesis s right-parenthesis' and 'hiking boots left-parenthesis h right-parenthesis.'
A.
A tree diagram is shown.The letters j and k appear in boxes and are stacked vertically. From each of these two boxes, 3 line segments extend to the right with the letters y, b, and c each appearing in a box. These 6 boxes are stacked vertically. A line segment extends to the right of each of the first 3 of the 6 boxes connecting each one with a box with the letter s in it. A line segment extends to the right of each of the second 3 of the 6 boxes connecting each one with a box with the letter h in it. The 3 boxes with the letter s and the 3 boxes with the letter h are stacked vertically. An arrow extends to the right from each of these 6 boxes, pointing to another box. This last box lists that letters that appear if you follow a path from left to right. These 6 boxes are also stacked vertically. From top to bottom, the letters in each of these 6 boxes are as follows: j, y, s; j, b, s; j, c, s; k, y, h; k, b, h; and k, c, h.
B.
A tree diagram is shown.The letters j and k appear in boxes and are stacked vertically. From each of these two boxes, 3 line segments extend to the right with the letters y, b, and c each appearing in a box. These 6 boxes are stacked vertically. From each of these 6 boxes, 2 line segments extend to the right with the letters s and h, each appearing in a box. An arrow extends to the right from each of these 12 boxes, pointing to another box. This last box lists that letters that appear if you follow a path from left to right. These 12 boxes are also stacked vertically. From top to bottom, the letters in each of these 12 boxes are as follows: j, y, s; j, y, h; j, b, s; j, b, h; j, c, s; j, c, h; k, y, s; k, y, h; k, b, s; k, b, h; k, c, s; and k, c, h.
C.
A tree diagram is shown.The letters j and k appear in boxes and are stacked vertically. From the box with the j, two line extend to the right with the letters y and b, each appearing in a box. From the box with the k, two line extend to the right with the letters b and c, each appearing in a box. These 4 boxes to the right of the first two are stacked vertically. From each of these 4 boxes, 2 line segments extend to the right with the letters s and h, each appearing in a box. An arrow extends to the right from each of these 8 boxes, pointing to another box. This last box lists that letters that appear if you follow a path from left to right. These 8 boxes are also stacked vertically. From top to bottom, the letters in each of these 8 boxes are as follows: j, y, s; j, y, h; j, b, s; j, b, h; k, b, s; k, b, h; k, c, s; and k, c, h.
B.
Which of the following sample spaces correctly lists all the possible outcomes for flipping a coin and spinning a four-colored spinner (red, blue, green, and yellow)?
A. H-red, H-blue, H-green, H-yellow, T-yellow, T-green, T-blue, T-red
B. H-red, T-red, H-blue, T-blue, H-green, T-yellow
C. T-yellow, H-red, T-blue, H-green, T-green, H-yellow, T-red
D. H-red, T-blue, H-green, T-yellow
C.
How many different lunch combinations can be made from two sandwich choices, three side item choices, and three beverage choices if you choose one sandwich, one side, and one beverage?
A. 8
B. 9
C. 18
D. 11
C. 18
A number cube is rolled. What is P(3 or an even number)?
A. one-half
B. start fraction 2 over 3 end fraction
C. start fraction 4 over 2 end fraction
D. one-sixth
B. start fraction 2 over 3 end fraction
Which of the following is a certain event?
A. rolling a composite number on a number cube
B. rolling a number greater than 1 on a number cube
C. rolling an odd or even number on a number cube
D. rolling an odd or even number greater than 7
B. rolling a number greater than 1 on a number cube.
A class has 9 girls and 12 boys. What is the probability of a teacher randomly calling on a boy?
A. start fraction 3 over 4 end fraction
B. four-sevenths
C. start fraction 3 over 7 end fraction
D. four-thirds