The probability of an impossible event is
In a cricket match, a batswoman hits the boundary 6 times out of 30 balls played by her. Find the probability that she did not hit a boundary is
Total numbers of balls = 30
Numbers of boundary = 6
Numbers of time she didn't hit boundary = 30 - 6 = 24
Probability she did not hit a boundary = 24/30
A die is thrown 300 times and odd numbers are obtained 153 times. Then, the probability of getting an even number is
Gugu throws a die once. The probability that she shows a number less than 5 is :
If each observation of the data is increased by 5, then their mean
Weather forecast from a news channel was correct 125 times out of 365 days. The probability that on a given day it was not correct is
Two coins are tossed simultaneously 300 times. Either one or two heads are obtained 198 times. The probability of getting no head is
Two coins are tossed simultaneously. Then, the probability of getting at most one head is
Which of the following cannot be the empirical probability of an event ?
A standard deck of 52 cards is shuffled. One card is drawn at random. The probability that the card is red or an ace is
ANSWER :- A
Solution :- The probability of drawing a red card is 1/2 as half the cards are red. So we need the sum 1/2 + 4/52 but we have counted red aces in both of these so we need to subtract the probability of drawing a red ace. So p(draw an ace or a red card)
= 4/52 + 26/52 - 2/52
= 28/52 => 7/13
A fair die is tossed. Then, the probability of not rolling a number less than 5 is
Two coins are tossed 1000 times and the outcomes are recorded as below
Besed on this information, the probabilty for at most one head is
ANSWER :- c
Solution :- Required probability = P(0 heads) + P(1 head)
= 250/1000 + 550 / 1000
= 800/ 1000
= 4 / 5
1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Ruchi purchased one lottery ticket, the probability of winning prize is
A die is thrown once. The probability of getting a number 3 or 4 is
A die is thrown once. The probability of getting a number greater than 3 is
Two unbiased coins are tossed simultaneously. The probability of getting at least one head is
When two coins are tossed simultaneously then the possible outcomes obtained are {HH, HT, TH, and TT}.
Here H denotes head and T denotes tail.
Therefore, a total of 4 outcomes obtained on tossing two coins simultaneously.
Consider the event of obtaining at the most one head. At most one head is obtained means either no head is obtained or one head is obtained.
The outcome(s) favourable to no head obtained is {TT}
The outcome(s) favourable to one head obtained is {HT, TH}
Therefore, the event of obtaining at most one head has 3 favourable outcomes. These are TT, HT and TH.
Therefore, the probability of obtaining at most one head = 3/4.
The probability of getting 53 Sundays in a leap year is
A marble is drawn at random from a bag. If the bag contains 6 blue and 4 green marbles, the probability that the marble is green, is
Twenty balls are serially numbered and placed in a bag. The probability that a ball drawn is a multiple of 3 or 5, is
If the probability of winning a game is 0.3, the probability of losing it is
Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 is
A bag contains 5 red balls and some blue balls. The probability of drawing a blue ball is double that of a red ball. The number of blue balls in the bag is
A bag contains 12 balls out of which x are white. If one ball is drawn at random, the probability that it will be a white ball is x/12. If 6 more white balls are put in the bag, the probability of drawing a white ball will be double than that obtained in .find x.
Total number of balls = 12
Total number of black balls = x
P (getting a black ball) = x/12
Now if 6 more black balls are put in the box, then
Total number of balls = 12 + 6 = 18
Total number of black balls = x + 6
P (getting a black ball now) = (x+6)/18
According to the condition given in the question
2(x/12) = (x+6)/18
3x = x+6
x = 3
Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this bag. The probability that the number of the card is a prime number less than 20 is
Prime number less than 20 are 2,3,5,7,11,13,17,19=8
Probability=8/100=2/25
The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. One card is selected from the remaining cards. The probability of getting a club is
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