Modeling Conditional Probability in Probability Experiments

This video tutorial introduces the concept of conditional probability, explaining it through examples. The first example involves calculating the probability of selecting a blue triangle from a bag of shapes. The second example involves determining the probability of rolling a prime number on a die, given that the outcome is odd. The tutorial concludes by comparing these examples with the conditional probability formula, emphasizing the relationship between the numerator and denominator in probability calculations.

What is the formula for conditional probability?

• Probability of B given A equals probability of B divided by probability of A

• Probability of B given A equals probability of A and B divided by probability of A

• Probability of A given B equals probability of A divided by probability of B

• Probability of A given B equals probability of A and B divided by probability of B

In the example with shapes, what is the probability of selecting a triangle given that it is blue?

• 1/3

• 1/2

• 2/3

• 3/4

How many blue triangles are there in the bag?

• 5

• 2

• 3

• 4

What is the probability of rolling a prime number given that the outcome is odd?

• 3/4

• 2/3

• 1/2

• 1/3

Which numbers are both odd and prime on a six-sided die?

• 1 and 3

• 3 and 5

• 1 and 5

• 2 and 3