Advertisements
Advertisements
प्रश्न
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
उत्तर
Out of 18 balls, three balls can be drawn in 18C3 ways.
∴ Total number of elementary events = 18C3 = 816
Out of eight blue balls, two blue balls can be drawn in 8C2 ways.
Out of six red balls, one red ball can be drawn in 6C1 ways .
Therefore, two blue and one red balls can be drawn in 8C2 × 6C1 = 28 × 6 = 168 ways
∴ Favourable number of ways = 168
Hence, required probability =
APPEARS IN
संबंधित प्रश्न
Describe the sample space for the indicated experiment: A coin is tossed four times.
An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.
A coin is tossed once. Write its sample space
Write the sample space for the experiment of tossing a coin four times.
A coin is tossed repeatedly until a tail comes up for the first time. Write the sample space for this experiment.
A pair of dice is rolled. If the outcome is a doublet, a coin is tossed. Determine the total number of elementary events associated to this experiment.
A coin is tossed twice. If the second draw results in a head, a die is rolled. Write the sample space for this experiment.
A die is thrown repeatedly until a six comes up. What is the sample space for this experiment.
Three coins are tossed once. Describe the events associated with this random experiment:
A = Getting three heads
B = Getting two heads and one tail
C = Getting three tails
D = Getting a head on the first coin.
(i) Which pairs of events are mutually exclusive?
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
In shuffling a pack of 52 playing cards, four are accidently dropped; find the chance that the missing cards should be one from each suit.
A bag contains 6 red, 4 white and 8 blue balls. if three balls are drawn at random, find the probability that one is red, one is white and one is blue.
A bag contains 7 white, 5 black and 4 red balls. If two balls are drawn at random, find the probability that both the balls are white
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.
The letters of the word 'FORTUNATES' are arranged at random in a row. What is the chance that the two 'T' come together.
Find the probability that in a random arrangement of the letters of the word 'UNIVERSITY', the two I's do not come together.
A committee of two persons is selected from two men and two women. What is the probability that the committee will have no man?
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 odd?
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 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.
An integer is chosen at random from first 200 positive integers. Find the probability that the integer is divisible by 6 or 8.
A sample space consists of 9 elementary events E1, E2, E3, ..., E9 whose probabilities are
P(E1) = P(E2) = 0.08, P(E3) = P(E4) = P(E5) = 0.1, P(E6) = P(E7) = 0.2, P(E8) = P(E9) = 0.07
Suppose A = {E1, E5, E8}, B = {E2, E5, E8, E9}
List the composition of the event A ∪ B, and calculate P(A ∪ B) by addting the probabilities of elementary events.
A sample space consists of 9 elementary events E1, E2, E3, ..., E9 whose probabilities are
P(E1) = P(E2) = 0.08, P(E3) = P(E4) = P(E5) = 0.1, P(E6) = P(E7) = 0.2, P(E8) = P(E9) = 0.07
Suppose A = {E1, E5, E8}, B = {E2, E5, E8, E9}
Calculate \[P\left( \bar{ B} \right)\] from P(B), also calculate \[P\left( \bar{ B } \right)\] directly from the elementary events of \[\bar{ B } \] .
n (≥ 3) persons are sitting in a row. Two of them are selected. Write the probability that they are together.
If the letters of the word 'MISSISSIPPI' are written down at random in a row, what is the probability that four S's come together.
Two dice are thrown together. The probability that at least one will show its digit greater than 3 is
Two dice are thrown simultaneously. The probability of obtaining a total score of 5 is
A die is rolled, then the probability that a number 1 or 6 may appear 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?
What is the probability that a randomly chosen two-digit positive integer is a multiple of 3?
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 ______.
Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is ______.
