Solving Dependent Probability Problems

Carrie has four different cheerleading tops: a purple tank, a purple sweater, a gold tank, and a gold sweater. What is the probability of Carrie randomly selecting a gold top on Monday, then randomly selecting a purple top on Tuesday, if she doesn't wear the same thing two days in a row?

The teacher of a class that contains 12 boys and 16 girls needs to pick two volunteers. She randomly selects one student, and then selects another student from the class. What is the probability that she picks two girls?

Find the probability of getting not white on the first spinner and a y on the second spinner.

In a game of checkers, there are 12 red pieces and 12 black pieces. Julio is setting up the board to begin playing. What is the probability that the first two checkers he pulls from the box at random are red followed by a black?

A bag contains 2 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a white cube, not replacing it, and then drawing a dotted cube?

• dependent

• independent

A bag contains 2 striped cubes, 5 dotted cubes, 5 white cubes and 3 red cubes. What is the probability of drawing two striped cubes in succession, without replacing the first cube drawn?

• independent

• dependent

A pocket contains 3 pennies, 2 nickels, 3 quarters and 4 dimes. What is the probability of randomly choosing a quarter two times in a row if the first coin drawn is not replaced?

• dependent

• independent

Jaylan has a fun-size bag of SweetTarts™. Inside the bag are 4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTarts™. What is the probability of drawing a yellow SweetTart™ three times in a row if each SweetTart™ selected is eaten before the next SweetTart™ is drawn?

• dependent

• independent

What is the probability of picking a green marble, keeping it, then picking another green marble? (leave answer in fraction form in lowest terms)

• 9/49

• 1/7

• 3/14

• 6/42

What is the probability of picking a red marble and keeping it, picking another red marble and keeping it, then picking a blue marble? (leave answer in fraction form in lowest terms)

• 2/105

• 4/343

• 2/63

• 4/210