Advertisements
Advertisements
Question
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 a multiple of 4?
Solution
Clearly, the sample space is given by S = {1, 2, 3, 4, 5........19, 20}.
i.e. n(S) = 20
Let E1 = event of getting a multiple of 4
Then E1 = {4, 8, 12, 16, 20}
i.e. n(E1) = 5
Hence, required probability = P(E1) = \[\frac{n\left( E_1 \right)}{n\left( S \right)} = \frac{5}{20} = \frac{1}{4}\]
APPEARS IN
RELATED QUESTIONS
Describe the sample space for the indicated experiment: A die is thrown two times.
Describe the sample space for the indicated experiment: A coin is tossed four times.
Describe the sample space for the indicated experiment: A coin is tossed and a die is thrown.
Describe the sample space for the indicated experiment: A coin is tossed and then a die is rolled only in case a head is shown on the coin.
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?
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.
A die is thrown repeatedly until a six comes up. What is the sample space for this 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 and then a die is rolled only in case a head is shown on the coin. Describe the sample space for this experiment.
A coin is tossed. If it shows tail, we draw a ball from a box which contains 2 red 3 black balls; if it shows head, we throw a die. Find the sample space of 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.
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?
2 boys and 2 girls are in room P and 1 boy 3 girls are in room Q. Write the sample space for the experiment in which a room is selected and then a person.
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.
A coin is tossed. Find the total number of elementary events and also the total number events associated with the random experiment.
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 card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is spade or an ace
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is not an ace
Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random. What is the probability that the ticket has a number which is a multiple of 3 or 7?
Five cards are drawn from a pack of 52 cards. What is the chance that these 5 will contain:
(i) just one ace
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 '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 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 greater than 12?
An urn contains 7 white, 5 black and 3 red balls. Two balls are drawn at random. Find the probability that one ball is red and the other is black
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 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.
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?
One card is drawn from a pack of 52 cards. The probability that it is the card of a king or spade 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
A die is rolled, then the probability that a number 1 or 6 may appear 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
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?
