Questions

1 Marks Question

Take a timed test

10 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
If the probability of winning a game is 0.7, what is the probability of losing it?
Answer
Let E be an event of winning the game, then E' will be losing it.

P(E) + P(E') = 1

⇒ 0.7 + P(E') = 1

⇒ P(E') = 0.3

Hence, the probability of losing the game is 0.3.
View full question & answer
Question 21 Mark
Very-Short-Answer Questions.
A coin is tossed once. What is the probability of getting a tail?
Answer
When a coin is tossed the outcomes are:

{H, T}

So, the number of outcomes = 2

P(getting a tail)

$=\frac{1}{2}$
View full question & answer
Question 31 Mark
Fill in the blanks:
The sum of probability of all the outcomes of an experiment is _____.
Answer
The sum of probabilities of all the outcomes of an experiment is one.
View full question & answer
Question 41 Mark
Very-Short-Answer Questions.
A die is thrown once. Find the probability of getting:
A number greater than 2.
Answer
In a throw of a dice, all possible outcomes are 1, 2, 3, 4, 5, 6

Total number of possible outcomes = 6

Let M be the event of getting a number greater than 2

Then, the favorable outcomes are 3, 4, 5, 6

Number of favorable outcomes = 4

$\therefore$ P(getting a number greater than 2) = P(M)

$=\frac{4}{6}$

$=\frac{2}{3}$
View full question & answer
Question 51 Mark
Fill in the blanks:
The probability of an impossible event is _____.
Answer
The probability of an impossible event is zero.
View full question & answer
Question 61 Mark
Fill in the blanks:
The probability of a sure event is _____.
Answer
The probability of a sure event is one.
View full question & answer
Question 71 Mark
Very-Short-Answer Questions.
Two coins are tossed simultaneously Find the probability of getting:
  1. Exactly 1 head.
  2. at most 1 head.
  3. At least 1 head.
Answer
When two coins are tossed the outcomes are:
{HH, HT, TH, TT}
Total number of outcomes = 4
  1. P(getting exactly 1 head) $=\frac{2}{4}$
$=\frac{1}{2}$
  1. P(getting atmost 1 head) $=\frac{3}{4}$
  2. P(getting atleast 1 head) $=\frac{3}{4}$
View full question & answer
Question 81 Mark
Fill in the blanks:
The probability of a possibel but not a sure event lies between _____ and _____.
Answer
The probability of a possible but not a sure event lies between zero and one.
View full question & answer
Question 91 Mark
Very-Short-Answer Questions.
A die is thrown once. Find the probability of getting:
A number other than 3.
Answer
In a throw of a dice, all possible outcomes are 1, 2, 3, 4, 5, 6

Total number of possible outcomes = 6

Let G be event of getting a number other than 3

Then the favorable outcomes are 1, 2, 4, 5, 6

Number of favorable outcomes = 5

$\therefore$ P(getting a number other than 5) = P(G)

$=\frac{5}{6}$
View full question & answer
Question 101 Mark
Fill in the blanks:
For any event E, P(E) + P(not E) = _____.
Answer
For any event E, P(E) + P(not E) = one.
View full question & answer