Advertisements
Advertisements
प्रश्न
One urn contains two black balls (labelled B1 and B2) and one white ball. A second urn contains one black ball and two white balls (labelled W1 and W2). Suppose the following experiment is performed. One of the two urns is chosen at random. Next a ball is randomly chosen from the urn. Then a second ball is chosen at random from the same urn without replacing the first ball. Write the sample space showing all possible outcomes
उत्तर
Given that one of the two urns is choosen
Then a ball is randomly choosen from the urn
Then a second ball is choosen at random from the same urn without replacing the first ball
Sample space S = {B1B2, B1W, B2B1, B2W, WB1, WB2, BW1, BW2, W1B, W1W2, W2B, W2W1}
Total number of Sample space, S = 12
APPEARS IN
संबंधित प्रश्न
Three coins are tossed once. Let A denote the event "three heads show", B denote the event "two heads and one tail show". C denote the event "three tails show" and D denote the event "a head shows on the first coin". Which events are
- mutually exclusive?
- simple?
- compound?
Two dice are thrown. The events A, B and C are as follows:
A: getting an even number on the first die.
B: getting an odd number on the first die.
C: getting the sum of the numbers on the dice ≤ 5
Describe the events
- A'
- not B
- A or B
- A and B
- A but not C
- B or C
- B and C
- A ∩ B' ∩ C'
In a single throw of a die describe the event:
B = Getting a number greater than 7
In a single throw of a die describe the event:
C = Getting a multiple of 3
In a single throw of a die describe the event:
D = Getting a number less than 4
In a single throw of a die describe the event:
E = Getting an even number greater than 4
In a single throw of a die describe the event:
F = Getting a number not less than 3.
Also, find A ∪ B, A ∩ B, B ∩ C, E ∩ F, D ∩ F and \[ \bar { F } \] .
A and B are two events such that P (A) = 0.54, P (B) = 0.69 and P (A ∩ B) = 0.35. Find
P (A ∪ B).
A and B are two events such that P (A) = 0.54, P (B) = 0.69 and P (A ∩ B) = 0.35. Find
\[P (\bar{ A } \cap \bar{ B } )\]
A dice is thrown twice. What is the probability that at least one of the two throws come up with the number 3?
If P(A ∪ B) = P(A ∩ B) for any two events A and B, then
An experiment consists of rolling a die until a 2 appears. How many elements of the sample space correspond to the event that the 2 appears not later than the k th roll of the die?
A team of medical students doing their internship have to assist during surgeries at a city hospital. The probabilities of surgeries rated as very complex, complex, routine, simple or very simple are respectively, 0.15, 0.20, 0.31, 0.26, .08. Find the probabilities that a particular surgery will be rated routine or complex
A team of medical students doing their internship have to assist during surgeries at a city hospital. The probabilities of surgeries rated as very complex, complex, routine, simple or very simple are respectively, 0.15, 0.20, 0.31, 0.26, .08. Find the probabilities that a particular surgery will be rated routine or simple
One urn contains two black balls (labelled B1 and B2) and one white ball. A second urn contains one black ball and two white balls (labelled W1 and W2). Suppose the following experiment is performed. One of the two urns is chosen at random. Next a ball is randomly chosen from the urn. Then a second ball is chosen at random from the same urn without replacing the first ball. What is the probability that two black balls are chosen?
One urn contains two black balls (labelled B1 and B2) and one white ball. A second urn contains one black ball and two white balls (labelled W1 and W2). Suppose the following experiment is performed. One of the two urns is choosen at random. Next a ball is randomly chosen from the urn. Then a second ball is choosen at random from the same urn without replacing the first ball. What is the probability that two balls of opposite colour are choosen?
A card is drawn from a deck of 52 cards. Find the probability of getting a king or a heart or a red card.
Determine the probability p, for the following events.
An odd number appears in a single toss of a fair die.
Determine the probability p, for the following events.
The sum of 6 appears in a single toss of a pair of fair dice.
The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then `P(barA) + P(barB)` is ______.
If M and N are any two events, the probability that at least one of them occurs is ______.
The probability of intersection of two events A and B is always less than or equal to those favourable to the event A.
The probability of an occurrence of event A is 0.7 and that of the occurrence of event B is 0.3 and the probability of occurrence of both is 0.4
