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A bag contains 8 black balls and some white balls. If the probability of drawing a white ball is twice that of a black ball, find the number of white balls in the bag.
Let number of white balls
Number of black balls
Total number of balls
What is the probability that a leap year has 53 Sundays and 53 Mondays both?
Number of weeks
weeks days
52 week means every day is 52 times in a year.
2 days left will be (sun â€“ mon), (montue), (tuewed), (wedthu), (thufri), (frisat), (satsun)
Total possible outcome =7
Favorable case 53 days and 53 Mondays both ie n(E) = 1
In a single throw with two dice the odds against drawing 7 is
Total possible outcome
Favorable outcome
Number of unfavorable case
Probability
Three dice throws simultaneously. The probability of getting a sum of 15 is
Total outcome
Number of favorable case
Probability
Three dice are thrown. The probability of getting a sum is a perfect square is
Three dices are thrown
Total possible outcome
Number of favorable outcome
A dice is thrown once. The probability of getting a number less than 6 is
A dice is thrown once. The probability of getting a number greater than 2 is
What is the probability that a number selected at random from the number 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, will be their average
Average
Number of favorable case
Probability
The probability of selecting a given marble at random from a jar that contains only green, white and yellow marbles is \(\dfrac{1}{4} \). The probability of selecting a white marble at random from the same jar is \( \dfrac{1}{3}\). If this jar contains 10 yellow marbles. What is the total number of marble?
There are 30 cards of same size in a bag on which numbers 1 to 30 are written, one card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.
Total outcomes
Number which is divisible by
The number which are not divisible by
In a simultaneous throw of pair of dice. The probability of getting a doublet is
Total outcome
Favorable outcome
A card is drawn from a well shuffled deck of 52 cards then probability of drawing either red or queen card is
Total favorable cards
A card is drawn from 52 cards then probability of getting a face cards is
Total face cards
Two coins are tossed simultaneously then the probability of getting at least one tail is
Total possible outcomes = 4
At least one tail = 3
A card is drawn from 52 cards then probability of getting an honour card is
Total honour cards = 16
The probability that an ordinary year selected will contain 53 Sunday is
365 days = 52 weeks + 1 day. Remaining 1 day can be sun, mon, tue, wed, thu, fri, sat
A bag contains 5 red balls, 8 white balls, 4 green balls and 7 black balls. If one ball is drawn at random the probability that is not green is
Probability
A bag contains 3 green marbles, 4 blue marbles, 2 orange marbles. If a marble is picked at random, then the probability that is not an orange marble is
P (not an orange marble)
A bag contains 9 red, 7 white and 4 black balls. What is the probability that the b all drawn will be red?
P (red ball)
A coin is tossed successively three. Determine the probability of getting two heads.
P(two heads)
A number is selected from 1 to 27. The probability that is prime is
P(prime number)
One card is drawn from a well shuffled deck of 52 cards. Find the probability of drawing an ace.
P(drawing an ace)
A lottery has a 0.00002 probability of wining first prize. How many tickets have been sold for the lottery?
Suppose a die is dropped at random on the rectangular region. What is the probability that it will land inside the circle with diameter 2m
n(s) = area of rectangle
n(A) = area of circle =
Probability
All the three cards of spades are removed from a wellshuffled pack of 52 cards. Find the probability of getting a queen if the card is drawn from the remaining.
remaining cards
P(a queen)
A book containing 100 pages is opened at random. What is the probability that a doublet page is found?
A restaurant operator checked a sample of 200 plates and found that 10 of them were defective. The probability that he will get a defective plate?
Probability
The probability that A can win a race is \(\dfrac{3}{8} \) and the probability that B can win is \( \dfrac{1}{6}\). If both runs what is the probability that one of them will win the race.
In a simultaneous throw of a pair of dice. Find the probability of getting a doublet of odd numbers
Doublet of odd numbers
The probability of getting a number less than 5 in a single throw of die is
Possible outcomes
Favourable outcomes