Unit 20 Set Probability

Match the following Probability Rules from Unit 20

• IF Independent

  P(AuB) =

• P(A | B) =

• P(B | A) =

• P(AuB) =

• IF Independent

  P(AnB) =

Given that events A and B are independent with 𝑃(𝐴)=0.07 and 𝑃(𝐵∣𝐴)=0.7, determine the value of P(B), rounding to the nearest thousandth, if necessary.

• 0.7

• 0.07

• 0.049

• 0.63

Given that events A and B are independent with 𝑃(𝐴)=0.24 and 𝑃(𝐵)=0.05, determine the value of 𝑃(𝐴∣𝐵), rounding to the nearest thousandth, if necessary.

• 0.05

• 0.24

• 0.19

• 0.29

Given 𝑃(𝐴)=0.4, 𝑃(𝐵)=0.26 and 𝑃(𝐴 or 𝐵)=0.436, find the value of 𝑃(𝐴 and 𝐵), rounding to the nearest thousandth, if necessary.

Mathematical Equivalence

ON

Given 𝑃(𝐴)=0.69, 𝑃(𝐵)=0.3 and 𝑃(𝐴∣𝐵)=0.9, find the value of 𝑃(𝐴∩𝐵), rounding to the nearest thousandth, if necessary.

Mathematical Equivalence

ON

Match the following

• A Or B

• 
• Union (Pic)

• A And B

• 
• Intersection (pic)

• 
• Subset