Sum of Probabilities of Favorable and Unfavorable Event

Q.

It is given that the probability of winning a game is 0.7. What is the probability of losing the game?

(a) 0.8

(b) 0.3

(c) 0.35

(d) 0.15

Q. A number is chosen from 1 to 15, find the probability that the chosen number is a prime number:

1. $\frac{2}{5}$
2. $\frac{3}{5}$
3. $\frac{4}{5}$
4. $1$

Q. If P(E) = 0.44, then P(not E) will be 0.56

1. True
2. False

Q. Question 4
A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball?
If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x.

Q.

Simplify :

0.12×(0.0104-0.002)+0.36×0.002

__________________________________

0.12×0.12

Q.

Sum of the probabilities of all events of a trial is

1. less than 1

2. greater than 1

3. 1

4. lies between 0 and 1

Q.

The odds against a certain event are $5:2$ and the odds in favour of another independent event are $6:5$. The probability that atleast one of the events will happen is

1. $\frac{25}{77}$

2. $\frac{52}{77}$

3. $\frac{12}{77}$

4. $\frac{65}{77}$

Q. The probability of guessing the correct answer to a certain question is $\frac{x}{3}$. If the probability of not guessing the correct answer is $\frac{x}{3}$, then find $x$.

1. $\frac{2}{3}$
2. $\frac{3}{2}$
3. $1$
4. $0.5$

Q.

What is the probability of getting a sum 9 from two throws of a dice?

1. $\frac{1}{18}$

2. $\frac{1}{9}$
3. $\frac{1}{6}$

4. $\frac{1}{36}$

Q.

A bag contains 1 red ball, 1 green ball, 2 blue balls, and 1 black ball. If a ball is drawn out of the bag, the probability of getting a ball of each colour is equally likely.

1. False

2. True

Q.

If P(E)= 0.55 what is the value of P(not E)

1. 0.55

2. 0.945

3. 0.45

4. 0.25

Q.

In an event there are two possible outcomes, the probability of occurrence of one outcome is 1. The probability of occurrence of the other outcome is ____.

1. 1

2. 0

3. $\frac{1}{2}$

4. $\frac{1}{4}$

Q. If I pick a red ball 10 times out of 30 times from a bag that contains red and black balls, then the probability of picking a black ball is:

1. $\frac{1}{4}$
2. $\frac{1}{3}$
3. $\frac{2}{3}$
4. $\frac{1}{2}$

Q.

The probability of certain (sure) event is ___ .

1. $\frac{1}{6}$

2. $1$

3. $\frac{1}{2}$

4. $\frac{1}{3}$

Q. We know that Probability of an event E, written as
P(E)
$=\frac{NumberofoutcomesfavourabletoE\left(m\right)}{Numberofallpossibleoutcomesoftheexperiment\left(n\right)}$.

Which of the following options correctly explains the relationship between m and n?

1. $m=n>0$
2. $m\ge 0,n>0,m\le n$
3. $m\ge 0\ge n$
4. $0\ge m\ge n$

Q. If P(E) = 0.44, then P(not E) will be 0.56

1. True
2. False

Q. Question 8 (i)
A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is red?

Q.

Two players, Anand and Vishwa are playing a tennis match. The probability of Vishwa winning the match is 0.75. What is the probability of Anand winning the match?

1. $\frac{4}{3}$

2. $\frac{2}{4}$

3. $\frac{1}{4}$

4. $\frac{3}{4}$

Q.

Two kids, Goutham and Pavani are fighting for coins. Finally, Goutham won and stole a coin from Pavani's pocket which has four different coins (a 1 rupee coin, a 2 rupee coin, a 5 rupee coin, a 10 rupee coin), what is the probability that Goutham stole a 5 rupee coin?

1. 5/10

2. 1/4

3. 5/4

4. 5/18

Q. A bag contains 12 white and black balls out of which $x$ are black. If one ball is drawn at random, what is the probability it will be a white ball?

1. $\frac{\left(x\right)}{12}$
2. $\frac{(12+x)}{12}$
3. $\frac{(12-x)}{12}$
4. $\frac{\left(x\right)}{2}$

Q.

In a cricket match, a batswoman hits a boundary $6$ times out of $30$ balls she plays. Find the probability that she did not hit a boundary.

Q. If E1, E2, E3, ....., En are n elemantary outcomes associated to a random experiment, then P(E1) + P(E2) + P(E3) + ........... + P(En) = ______________.

1. 0
2. 1
3. none of the above
4. 2

Q.

Given that sample space S = {1, 2, 3, 4, 6} which of the following is the sure event?

1. {1, 2, 3, 4, 5, 6}

2. {1, 2, 3, 4, 5}

3. {1, 2, 3, 4, 6}

4. {1, 2, 3, 5, 6}

Q. Five cards - the ten, jack, queen, king and ace of diamonds are well shuffled with their faces downwards. One card is then picked up at random.

(a) What is the probability that the drawn card is the queen?

(b) If the queen is drawn and put aside and a second card is drawn, find the probability that the second card is

(i) an ace,

(ii) a queen [4 MARKS]

Q.

Let $E$ be an event, that $P(notE)$$=$_________

Q. In a passage, there are 150 vowels out of which 32 are A's, 40 are E's and 30 are I's. What is the probability of next vowel being an O or an U?

1. 0.15
2. 0.32
3. 0.68
4. 0.85

Q. If the probability of winning a race of an athlete is $\frac{1}{6}$ less than twice the probability of losing, find the probability of losing the race.

1. $\frac{7}{18}$
2. $\frac{1}{3}$
3. $\frac{3}{4}$
4. $\frac{5}{6}$

Q.

In a multiple choice exam with 50 questions, 8 questions had A as the right answer, 13 had B, 15 had C and the rest had D. What is the probability that a question chosen at random had D as the correct answer?

Q. There are seven white and one brown egg in an egg box. Ruchira decides to make a two-egg omelette. She takes out each egg from the box without looking at its colour. What is the probability that Ruchira gets an omelette made from
(i) Two white eggs (ii) One white and one brown egg (iii) Two brown eggs

1. (i) $\frac{3}{4}$ (ii)$\frac{1}{4}$ (iii) 0
2. (i) $\frac{3}{8}$ (ii)$\frac{1}{4}$ (iii) 0
3. (i) $\frac{3}{4}$ (ii)$\frac{1}{2}$ (iii) 0
4. (i) $\frac{1}{4}$ (ii)$\frac{3}{4}$ (iii) 0

Q.

The last 30 balls of the Indian innings had 10 dot balls. The probability that the next ball is a dot ball is $\frac{1}{3}$

1. False

2. True