Probability baseline

If A and B are any two events of a sample space S, then

 

• P (A) + P (B)

• P (A) – P (B)

• P (A) P(B)

1.      If A and B are events of a sample space S such that A ⊆ B then

 

• P (A) = P (B)

• P (A) < P (B)

• 0.5

•   0.8

• 0.1

• 0.2

• Mutually disjoint

• Exhaustive

• Independent

• not Independent

If   F(x) is a distribution function of the random variable X and if a<b then P(a<X≤b) is

  

• P(a)

• P(b)  

• F(b) - F(a)

• F(a) - F(b)

You are on a game show and the host (Monty Hall) gives you the task of choosing a door.

Behind the doors are the following:

Goat

Goat

Car

You select a door that you believe hides the car.

Monty Hall then opens a different door, revealing a goat. You have the option to stick with your original door or switch to a different door. Which will increase the probability of getting the car?

• Don't switch (keep your initial door choice)

• Switch your choice to the other door

• It doesn't matter