Advertisements
Advertisements
प्रश्न
An experiment has the four possible mutually exclusive and exhaustive outcomes A, B, C, and D. Check whether the following assignments of probability are permissible.
P(A) = 0.15, P(B) = 0.30, P(C) = 0.43, P(D)= 0.12
उत्तर
When A, B, C, D are the possible exclusive and exhaustive events the P(A) + P(B) + P(C) + P(D) = 1.
P(A) = 0.15, P(B) = 0.30, P(C) = 0.43, P(D) = 0.12
Now P(A) + P(B) + P(C) + P(D) = 0.15 + 0.30 + 0.43 + 0.12 = 1
0.15 + 0.30 + 0.43 + 0.12 = 1
∴ The assignment of probability is permissible
APPEARS IN
संबंधित प्रश्न
A die is thrown twice and the sum of the number appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at least once?
An unbiased die is thrown twice. Let the event A be the odd number on the first throw and B the event odd number on the second throw. Check whether A and B events are independent.
Probability of solving specific problem independently by A and B are `1/2` and `1/3` respectively. If both try to solve the problem independently, find the probability that the problem is
- solved
- exactly one of them solves the problem
Two urns contain the set of balls as given in the following table
| Title | White | Red | Black |
| Urn 1 | 10 | 6 | 9 |
| Urn 2 | 3 | 7 | 15 |
One ball is drawn from each urn and find the probability that
- both balls are red
- both balls are of the same colour.
Bag I contains 3 Red and 4 Black balls while another Bag II contains 5 Red and 6 Black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from Bag I.
There are 1000 students in a school out of which 450 are girls. It is known that out of 450, 20% of the girls studying in class XI. A student is randomly selected from 1000 students. What is the probability that the selected student is from class XI given that the selected student is a girl?
A card is drawn from a pack of playing cards and then another card is drawn without the first being replaced. What is the probability of drawing
- two aces
- two spades
The two events A and B are mutually exclusive if
If two events A and B are dependent then the conditional probability of P`("B"/"A")` is
Data on readership of a magazine indicates that the proportion of male readers over 30 years old is 0.30 and the proportion of male readers under 30 is 0.20. If the proportion of readers under 30 is 0.80. What is the probability that a randomly selected male subscriber is under 30?
Gun 1 and Gun 2 are shooting at the same target. Gun 1 shoots on the average nine shots during the same time Gun 2 shoots 10 shots. The precision of these two guns is not the same. On the average, out of 10 shots from Gun 2 seven hit the target. In the course of shooting the target has been hit by a bullet, but it is not known which Gunshot this bullet. Find the chance that the target was hit by Gun 2?
An experiment has the four possible mutually exclusive and exhaustive outcomes A, B, C, and D. Check whether the following assignments of probability are permissible.
P(A) = 0.22, P(B) = 0.38, P(C) = 0.16, P(D) = 0.34
An experiment has the four possible mutually exclusive and exhaustive outcomes A, B, C, and D. Check whether the following assignments of probability are permissible.
P(A) = `2/5`, P(B) = `3/5`, P(C) = `- 1/5`, P(D) = `1/5`
Eight coins are tossed once, find the probability of getting atleast two tails
A bag contains 7 red and 4 black balls, 3 balls are drawn at random. Find the probability that one red and 2 black
A single card is drawn from a pack of 52 cards. What is the probability that the card is an ace or a king
A single card is drawn from a pack of 52 cards. What is the probability that the card is either a queen or 9?
A cricket club has 16 members, of whom only 5 can bowl. What is the probability that in a team of 11 members at least 3 bowlers are selected?
