Advertisements
Advertisements
प्रश्न
A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.
उत्तर
The box contains 2 red balls and 3 black balls. Let us denote the 2 red balls as R1, R2 and the 3 black balls as B1, B2, and B3.
The sample space of this experiment is given by
S = {TR1, TR2, TB1, TB2, TB3, H1, H2, H3, H4, H5, H6}
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?
Two dice are thrown. Describe the sample space of this experiment.
What is the total number of elementary events associated to the random experiment of throwing three dice together?
A coin is tossed and then a die is thrown. Describe 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.
A coin is tossed twice. If the second draw results in a head, a die is rolled. 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 knowing whether it is a boy or girl in the order of their births?
A box contains 1 white and 3 identical black balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
A coin is tossed. Find the total number of elementary events and also the total number events associated with the random 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.
(ii) Which events are elementary events?
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.
(iii) Which events are compound events?
A card is picked up from a deck of 52 playing cards.
What is the event that the chosen card is a black faced card?
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a black king
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 of the same colour.
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
Five cards are drawn from a pack of 52 cards. What is the chance that these 5 will contain at least one ace?
The face cards are removed from a full pack. Out of the remaining 40 cards, 4 are drawn at random. what is the probability that they belong to different suits?
The letters of the word 'FORTUNATES' are arranged at random in a row. What is the chance that the two 'T' come together.
Two balls are drawn at random from a bag containing 2 white, 3 red, 5 green and 4 black balls, one by one without, replacement. Find the probability that both the balls are of different colours.
A class consists of 10 boys and 8 girls. Three students are selected at random. What is the probability that the selected group has 1 boys and 2 girls?
Five cards are drawn from a well-shuffled pack of 52 cards. Find the probability that all the five cards are hearts.
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.
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}
Compute P(A), P(B) and P(A ∩ B).
A single letter is selected at random from the word 'PROBABILITY'. What is the probability that it is a vowel?
What is the probability that a leap year will have 53 Fridays or 53 Saturdays?
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.
What is the probability that the 13th days of a randomly chosen month is Friday?
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.
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).
Two dice are thrown simultaneously. The probability of obtaining total score of seven is
A bag contains 3 red, 4 white and 5 blue balls. All balls are different. Two balls are drawn at random. The probability that they are of different colour is
A die is rolled, then the probability that a number 1 or 6 may appear is
6 boys and 6 girls sit in a row at random. The probability that all the girls sit together 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 sample space of the experiment?
A single letter is selected at random from the word 'PROBABILITY'. The probability that it is a vowel is ______.
An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from the urn. The probability that the three balls have different colours is ______.
