Characteristics of Axiomatic Approach
- (12, 12)
- (−12, 1)
- (−12, 32)
- (1, 0)
Out of a pack of 52 cards one is lost, from the remainder of the pack , two cards are drawn and are found to be spades .Find the chance that the missing card is a spade ?
- All of the above
Forrest got a box of chocolate from Jenny. It had n different chocolates. Forrest asked Jenny how many chocolates the box has. Jenny, who is an aspiring data scientist replied, the probability of you getting a KitKat is 119. How many chocolates are there in the box, if each chocolate brand is equally - likely and there is only one chocolate of each brand?
Which of the following are the conditions to be satisfied in the axiomatic approach to probability?
For any event E, P(E) ≥ 0
P(S) = 1
For two mutually exclusive events E and F, P(E ∪ F) = P(E) + P(F)
For two exhaustive events E and F, P(E ∪ F) = P(E) + P(F)
- p=1, q=12
- p=1, q=0
A computer producing factory has only two plants T1 and T2. Plant T1 produces 20% and plant T2 produces 80% of the total computers produced. 7% of computers produced in the factory turn out to be defective. It is known that P(computer turns out to be defective, given that it is produced in plant T1) = 10P (computer turns out to be defective, given that it is produced in plant T2), where P(E) denotes the probability of an event E. A computer produced in the factory is randomly selected and it does not turn out to be defective. Then, the probability that it is produced in plant T2, is ?
- X and Y are independent
- X and Y are not independent
A ship is fitted with three engines E1, E2 and E3. The engines function independently of each other with respective probabilities 12, 14 and 14. For the ship to be operational, at least two of its engines must function. Let X denote the event that the ship is operational and let X1, X2 and X3 denote, respectively the events that the engines E1, E2 and E3 are functioning.
Which of the following is/are true?
P (Exactly two engines of the ship are functioning | X) =78