Prove that infinity
A bag contains red, white and black balls. Three balls are drawn at random. The probability of being their different colors is
none of these
What is the probability of getting a multiple of when a die is tossed?
A coin is tossed once, what is the probability of getting a head?
The probability of happening and event is and that of is . If and are mutually exclusive events, then the probability of happening neither nor is
None of these
In tossing of 3 coins, the probability of getting exactly 1 head is:
A card is drawn from a pack of cards. Find the probability that the card will be queen or a heart
The probability that a non-leap year has Sundays is
None of these
Which of the following arguments are correct and which are not correct? Give reasons for your Solution:
If two coins are tossed simultaneously there are three possible outcomes—two heads, two tails, or one of each. Therefore, for each of these outcomes, the probability is .
If a die is thrown, there are two possible outcomes—an odd number or an even number. Therefore, the probability of getting an odd number is
Let and be two independent events. The probability that both and occur together is and the probability that either of them occurs is. The probability of occurrence of is
In a certain town, of the people have brown hair, have brown eyes and have both brown hair and brown eyes. If a person selected at random from the town, has brown hair, the probability that he also has brown eyes is
A person draws a card from a pack of playing cards, replaces it, and shuffles the pack. He continues doing this until he draws a spade. The chance that he will fail exactly the first two times is
The probability of getting a multiple of 2 when an unbiased die is thrown is 12.
A five digit number is formed by writing the digits in a random order without repetitions. Then, the probability that the number is divisible by is
Let and . Which of the following is/are relations from to ?
A point is selected at random from the interior of the circle. The probability that the point is closer to the centre than the boundary of the circle is
None of these
Two aeroplanes and bomb a target in succession. The probabilities of and scoring a hit correctly are and , respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane, is
In a trial, the probability of success is twice the probability of failure. In six trials, the probability of at least four successes will be
Three letters are to be sent to different persons and addresses on the three envelopes are also written. Without looking at the addresses, the probability that the letters go into the right envelope is equal to
An urn contains red and blue balls. The probability that two balls are drawn in which 2nd ball drawn is blue without replacement is
A locker can be opened by dialing a fixed three digit code (between and ). A stranger who does not know the code tries to open the locker by dialing three digits at random. The probability that the stranger succeeds at the trail is
None of these
Odds to against a person who is years old living till he is and to against another person now till he will be living . Probability that one of then will be alive next years
The coefficient of correlation between two variables and are while the regression coefficient of on is . Then the regression coefficient of on is
A man alternately tosses a coin and throws a dice beginning with the coin. The probability that he gets a head in the coin before he gets a 5 or 6 in the dice is
None of these.
A student argues that ‘there are 11 possible outcomes Therefore, each of them has a probability
Do you agree with this argument? Justify your Solution.
If a dice is thrown times, then the probability of getting exact three times is
If and , then is equal to
In a test, +3 marks are given for every correct answer and - 1 mark is given for every incorrect answer. Sona attempted all the questions and scored +20 marks, though she got 10 correct answers.
How many incorrect answers has she attempted?
How many questions were given in the test?
A bag contains white and red balls and bag contains white and red balls. One ball is drawn at random from a randomly chosen bag and is found to be red. The probability that it was drawn from bag was