Advertisements
Advertisements
प्रश्न
A class consists of 10 boys and 8 girls. Three students are selected at random. What is the probability that the selected group has at least one girl?
उत्तर
Total number of students = (10 + 8) = 18
Let S be the sample space.
Then n(S) = number of ways of selecting 3 students out of 18 = 18C3 ways
Probability of at least one girl = 1 - P(no girl)
= 1 - P(all 3 are boys)
=\[1 - \frac{^{10}{}{C}_3}{^{18}{}{C}_3} = 1 - \frac{5}{34} = \frac{29}{34}\]
APPEARS IN
संबंधित प्रश्न
A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
Suppose 3 bulbs are selected at random from a lot. Each bulb is tested and classified as defective (D) or non-defective (N). Write the sample space of this experiment?
A coin is tossed. If the out come is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?
The numbers 1, 2, 3 and 4 are written separately on four slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.
If a coin is tossed three times (or three coins are tossed together), then describe the sample space for this experiment.
Two dice are thrown. Describe the sample space of this experiment.
A coin is tossed twice. If the second throw results in a tail, a die is thrown. Describe the sample space for this experiment.
A coin is tossed repeatedly until a tail comes up for the first time. Write the sample space for this experiment.
A box contains 1 red and 3 black balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
An experiment consists of boy-girl composition of families with 2 children.
What is the sample space if we are interested in the number of boys in a family?
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is neither a heart nor a king
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is not an ace
A bag contains 6 red, 4 white and 8 blue balls. If three balls are drawn at random, find the probability that two are blue and one is red
There are four men and six women on the city councils. If one council member is selected for a committee at random, how likely is that it is a women?
Find the probability that in a random arrangement of the letters of the word 'SOCIAL' vowels come together.
A committee of two persons is selected from two men and two women. What is the probability that the committee will have two men?
20 cards are numbered from 1 to 20. One card is drawn at random. What is the probability that the number on the cards is not a multiple of 4?
A class consists of 10 boys and 8 girls. Three students are selected at random. What is the probability that the selected group has all girls?
A class consists of 10 boys and 8 girls. Three students are selected at random. What is the probability that the selected group has at most one girl?
A bag contains tickets numbered from 1 to 20. Two tickets are drawn. Find the probability that on one there is a prime number and on the other there is a multiple of 4.as
An urn contains 7 white, 5 black and 3 red balls. Two balls are drawn at random. Find the probability that one ball is white.
Two cards are drawn from a well shuffled pack of 52 cards. Find the probability that either both are black or both are kings.
Suppose an integer from 1 through 1000 is chosen at random, find the probability that the integer is a multiple of 2 or a multiple of 9.
In a large metropolitan area, the probabilities are 0.87, 0.36, 0.30 that a family (randomly chosen for a sample survey) owns a colour television set, a black and white television set, or both kinds of sets. What is the probability that a family owns either any one or both kinds of sets?
A single letter is selected at random from the word 'PROBABILITY'. What is the probability that it is a vowel?
Three dice are thrown simultaneously. What is the probability of getting 15 as the sum?
If A and B are two independent events such that \[P (A \cap B) = \frac{1}{6}\text{ and } P (A \cap B) = \frac{1}{3},\] then write the values of P (A) and P (B).
The probabilities of happening of two events A and B are 0.25 and 0.50 respectively. If the probability of happening of A and B together is 0.14, then probability that neither Anor B happens is
An ordinary deck of cards contains 52 cards divided into four suits. The red suits are diamonds and hearts and black suits are clubs and spades. The cards J, Q, and K are called face cards. Suppose we pick one card from the deck at random. What is the event that the chosen card is a black face card?
How many two-digit positive integers are multiples of 3?
What is the probability that a randomly chosen two-digit positive integer is a multiple of 3?
Three of the six vertices of a regular hexagon are chosen at random. What is the probability that the triangle with these vertices is equilateral?
Suppose an integer from 1 through 1000 is chosen at random, find the probability that the integer is a multiple of 2 or a multiple of 9.
Two boxes are containing 20 balls each and each ball is either black or white. The total number of black ball in the two boxes is different from the total number of white balls. One ball is drawn at random from each box and the probability that both are white is 0.21 and the probability that both are black is k, then `(100"k")/13` is equal to ______.
