Probability of Drawing Counters

The video tutorial explains how to solve a probability problem involving drawing counters of different colors from a bag. It introduces the problem, uses a tree diagram to visualize possible outcomes, and calculates the probabilities of drawing counters of different colors. The tutorial concludes with the final probability calculation of drawing two counters of different colors.

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?

• 4/11

• 3/11

• 5/11

• 2/11

What is the probability of drawing two blue counters consecutively?

• 4/11

• 3/11

• 2/11

• 1/11

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

• 4/11

• 3/11

• 2/11

• 5/11

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

• 5/11

• 2/11

• 3/11

• 4/11

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

• 3

• 4

• 5

• 6

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

• 5/11

• 4/11

• 2/11

• 3/11

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

• 12/33

• 16/33

• 20/33

• 24/33

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

• 9/33

• 8/33

• 7/33

• 6/33