1 Marks Question

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.
$P(E) + P(E') = 1$
$\Rightarrow 0.7 + P(E') = 1$
$\Rightarrow P(E') = 0.3$
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:

Exactly $1$ head.
at most $1$ head.
At least $1$ head.

Answer

When two coins are tossed the outcomes are:
${HH, HT, TH, TT}$
Total number of outcomes $= 4$

$P$(getting exactly $1$ head) $=\frac{2}{4}$

$=\frac{1}{2}$

$P$(getting atmost $1$ head) $=\frac{3}{4}$
$P$(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→

Maths 1 Marks Question

Test yourself on this topic