Advertisements
Advertisements
प्रश्न
What is the probability that a randomly chosen two-digit positive integer is a multiple of 3?
उत्तर
2-digit positive integers are 10, 11, 12, ..., 99.
Thus, there are 90 such numbers.
Since out of these, 30 numbers are multiple of 3
Therefore, the probability that a randomly chosen positive 2-digit integer is a multiple of 3 is `30/90 = 1/3`.
APPEARS IN
संबंधित प्रश्न
One die of red colour, one of white colour and one of blue colour are placed in a bag. One die is selected at random and rolled, its colour and the number on its uppermost face is noted. Describe the sample space.
An experiment consists of recording boy-girl composition of families with 2 children.
(i) What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?
(ii) What is the sample space if we are interested in the number of girls in the family?
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.
A coin is tossed and then a die is thrown. Describe the sample space for this experiment.
A coin is tossed twice. If the second throw results in a tail, a die is thrown. Describe the sample space for this experiment.
An experiment consists of tossing a coin and then tossing it second time if head occurs. If a tail occurs on the first toss, then a die is tossed once. Find the sample space.
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 die is thrown repeatedly until a six comes up. What is the sample space for this experiment.
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 6 red, 4 white and 8 blue balls. If three balls are drawn at random, find the probability that one is red and two are white
Five cards are drawn from a pack of 52 cards. What is the chance that these 5 will contain:
(i) just 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?
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?
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 greater than 12?
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 boys?
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 both the balls are red .
Two cards are drawn from a well shuffled pack of 52 cards. Find the probability that either both are black or both are kings.
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}
Compute P(A), P(B) and P(A ∩ B).
Three dice are thrown simultaneously. What is the probability of getting 15 as the sum?
If E and E2 are independent evens, write the value of P \[\left( ( E_1 \cup E_2 ) \cap (E \cap E_2 ) \right)\]
6 boys and 6 girls sit in a row at random. The probability that all the girls sit together is
How many two-digit positive integers are multiples of 3?
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 ______.
A bag contains 20 tickets numbered 1 to 20. Two tickets are drawn at random. The probability that both the numbers on the ticket are prime is ______.