Probability of Drawing Counters

The video tutorial explains a probability problem involving a bag with colored counters. It demonstrates how to use a tree diagram to visualize the problem and calculate the probability of drawing two counters of different colors. The tutorial walks through the process of calculating probabilities for each possible outcome and concludes with the final probability of the desired event.

What is the total number of counters in the bag?

• 9

• 15

• 10

• 12

What is the probability of drawing a blue counter first?

• 1/4

• 1/3

• 1/2

• 1/6

If a blue counter is drawn first, what is the probability of drawing a red counter next?

• 6/11

• 4/11

• 3/11

• 5/11

What is the probability of drawing two blue counters consecutively?

• 4/11

• 3/11

• 2/11

• 1/11

If a red counter is drawn first, what is the probability of drawing a white counter next?

• 5/11

• 6/11

• 3/11

• 4/11

What is the probability of drawing a white counter first and then a blue counter?

• 6/33

• 3/33

• 5/33

• 4/33

How many different color combinations are possible when drawing two counters?

• 5

• 6

• 4

• 3

What is the probability of drawing a red counter first and then a blue counter?

• 3/33

• 5/33

• 6/33

• 4/33

What is the probability of drawing two counters of different colors?

• 20/33

• 24/33

• 12/33

• 16/33

What is the probability of drawing two counters of the same color?

• 6/33

• 7/33

• 8/33

• 9/33