Advertisements
Advertisements
प्रश्न
A committee of two persons is formed from 3 men and 2 women. What is the probability that the committee will have
- No woman
- One man
- No man
उत्तर
Number of men = 3 and number of women = 2
Total number of selecting 2 persons out of 5 persons = 5C2
i. Number of selecting no women = Number of selecting 2 men out of 3 men = 3C2
∴ P(Committee will have no women) = `(3"C"_2)/(5"C"_2)`
= `((3 xx 2)/(2 xx 1))/((5 xx 4)/(2 xx 1))`
= `(6/2)/(20/2)`
= `6/20`
= `3/10`
ii. Number of ways of selecting one man and the other person as a women = 3C1 × 2C1 = 6
∴ P(Committee will have one man) = `6/(5"C"_2)`
= `6/10`
= `3/5`
iii. Number of ways of selecting no man = Number of ways of selecting 2 women = 2C2
∴ P(Committee will have no man) = `(2"C"_2)/(5"C"_2)`
= `1/10`
APPEARS IN
संबंधित प्रश्न
Suppose one person is selected at random from a group of 100 persons are given in the following
| Title | Psychologist | Socialist | Democrat | Total |
| Men | 15 | 25 | 10 | 50 |
| Women | 20 | 15 | 15 | 50 |
| Total | 35 | 40 | 25 | 100 |
What is the probability that the man selected is a Psychologist?
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
If two events A and B are dependent then the conditional probability of P`("B"/"A")` is
If the outcome of one event does not influence another event then the two events are
Probability that at least one of the events A, B occur is
In a screw factory machines A, B, C manufacture respectively 30%, 40% and 30% of the total output of these 2%, 4% and 6% percent are defective screws. A screw is drawn at random from the product and is found to be defective. What is the probability that it was manufactured by Machine C?
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?
What is the chance that leap year should have fifty three Sundays?
Eight coins are tossed once, find the probability of getting atleast two tails
Eight coins are tossed once, find the probability of getting atmost two tails
