Advertisements
Advertisements
Question
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is either a black card or a king
Solution
Let S denote the sample space.
Then, n(S) = 52
Let E2 = event of drawing either a black card or a king
There are 26 black cards including two black kings and there are two more kings.
Therefore, there are 28 cards in which there is a black card or a king.
i.e. n (E2) = 28
APPEARS IN
RELATED QUESTIONS
Describe the sample space for the indicated experiment: A coin is tossed three times.
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 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.
Write the sample space for the experiment of tossing a coin four times.
What is the total number of elementary events associated to the random experiment of throwing three dice together?
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.
In a random sampling three items are selected from a lot. Each item is tested and classified as defective (D) or non-defective (N). Write the sample space of 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.
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. 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?
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 neither an ace nor a king
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is a black card
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is not a black card.
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?
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
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' CLIFTON' are placed at random in a row. What is the chance that two vowels 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 one man?
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?
A bag contains tickets numbered from 1 to 20. Two tickets are drawn. Find the probability that both the tickets have prime numbers on them
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
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.
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).
Three dice are thrown simultaneously. What is the probability of getting 15 as the sum?
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
Six boys and six girls sit in a row randomly. The probability that all girls sit together is
Without repetition of the numbers, four digit numbers are formed with the numbers 0, 2, 3, 5. The probability of such a number divisible by 5 is
How many two-digit positive integers are multiples 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.
The probability that a randomly chosen 2 × 2 matrix with all the entries from the set of first 10 primes, is singular, is equal to ______.
