Advertisements
Advertisements
Question
If P(E) = 0.05, then P(not E) =
Options
−0.05
0.5
0.9
0.95
Solution
`P(E)=0.05`
TO FIND:` P(overline E)`
We know that sum of probability of occurrence of an event and probability of non occurrence of an event is 1. Therefore
`P(overline E)=1`
`0.05+p(overlineE)=1`
` p(overlineE)=1-0.05`
`P(overlineE)=0.95`
APPEARS IN
RELATED QUESTIONS
Two digit numbers are formed using the digits 0, 1, 2, 3, 4, 5 where digits are not repeated.
P is the event that the number so formed is even.
Q is the event that the number so formed is greater than 50.
R is the event that the number so formed is divisible by 3.
Then write the sample space S and events P, Q, R using set notation.
In a single throw of a pair of different dice, what is the probability of getting (i) a prime number on each dice?
Two different dice are thrown together. Find the probability of getting a number greater than 3 on each die.
A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards thoroughly. Find the probability that the number on the drawn card is multiple of 5.
In a class of 42 students in Model High School, 3 students use spectacles.
Fill in the following boxes to find the probability of a students selected
at random is wearing sepctacles.
The total number of students in the class is 42.
∴n(S) = ...... ,
Let the event, a student uses spectacles, be A.
∴ n(A) = ...........
∴ P(A) = ............ ∴ P(A) = ............
All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a red card
All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a face card and
A number is chosen at random from the number –3, –2, –1, 0, 1, 2, 3. What will be the probability that square of this number is less then or equal to 1?
In Q. No. 1, The probability that the digit is even is
A number x is chosen at random from the numbers −3, −2, −1, 0, 1, 2, 3 the probability that | x | < 2 is
Two dice are rolled simultaneously. The probability that they show different faces is
A piggy bank contains hundred 50 p coins, seventy ₹1 coin, fifty ₹2 coins and thirty ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will not be a ₹5 coin?
A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Kamal?
All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is drawn from it. Find the probability that the drawn card is a black face card.
A bag contains 4 red and 6 black balls. A ball is taken out of the bag at random. What is the probability of getting a black ball?
Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is: less than 12
The total number of events of throwing 10 coins simultaneously is ____________.
Ritwik draws a ball from a bag that contains white and yellow balls. The probability of choosing a white ball is `2/9`. If the total number of balls in the bag is 36, find the number of yellow balls.
A bag contains 25 cards, numbered through 1 to 25. A card is drawn at random. What is the probability that the number on the card drawn is a perfect square?
