Advertisements
Advertisements
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.
उत्तर
It is given that the box contains 1 red ball and 3 identical white balls. Let us denote the red ball with R and a white ball with W.
When two balls are drawn at random in succession without replacement, the sample space is given by
S = {RW, WR, WW}
APPEARS IN
संबंधित प्रश्न
An experiment consists of tossing a coin and then throwing it second time if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.
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?
A coin is tossed once. Write its sample space
If a coin is tossed two times, describe the sample space associated to this experiment.
If a coin is tossed three times (or three coins are tossed together), then describe the sample space for this experiment.
What is the total number of elementary events associated to the random experiment of throwing three dice together?
An experiment consists of boy-girl composition of families with 2 children.
What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?
A bag contains one white and one red ball. A ball is drawn from the bag. If the ball drawn is white it is replaced in the bag and again a ball is drawn. Otherwise, a die is tossed. Write 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 picked up from a deck of 52 playing cards.
What is the sample space of the experiment?
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a jack, queen or a king
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 a diamond card
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
Five cards are drawn from a pack of 52 cards. What is the chance that these 5 will contain at least one ace?
Five cards are drawn from a pack of 52 cards. What is the chance that these 5 will contain at least one ace?
A committee of two persons is selected from two men and two women. What is the probability that the committee will have no man?
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?
Five cards are drawn from a well-shuffled pack of 52 cards. Find the probability that all the five cards are hearts.
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.
Three dice are thrown simultaneously. What is the probability of getting 15 as the sum?
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.
If E and E2 are independent evens, write the value of P \[\left( ( E_1 \cup E_2 ) \cap (E \cap E_2 ) \right)\]
Two dice are thrown together. The probability that at least one will show its digit greater than 3 is
The probability of getting a total of 10 in a single throw of two dices is
A card is drawn at random from a pack of 100 cards numbered 1 to 100. The probability of drawing a number which is a square is
Four persons are selected at random out of 3 men, 2 women and 4 children. The probability that there are exactly 2 children in the selection is
Six boys and six girls sit in a row randomly. The probability that all girls sit together is
6 boys and 6 girls sit in a row at random. The probability that all the girls sit together is
If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is
Three digit numbers are formed using the digits 0, 2, 4, 6, 8. A number is chosen at random out of these numbers. What is the probability that this number has the same digits?
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?
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?
A single letter is selected at random from the word 'PROBABILITY'. The probability that it is a vowel is ______.
