Name: Basics of Data
Uploaded: 2019-07-19
Duration: 2 min 58 s
Description: Data is a collection of facts, such as numbers, words, measurements, observations or just descriptions of things. Watch this video for more information about...

Question

Match the following:

column A	column B
(A) The scale of the probability is	(a) $\frac{2}{3}$
(B) The probability of not getting a multiple of $3$ when a die is thrown is.	(b) $\frac{1}{2}$
(C) A fair die is thrown, the probability of not getting a prime number is	(c) $\frac{5}{6}$
(D) In a cricket match hits a boundary $3$ times in $3$ overs he played. The probability that he did not hit the boundary is	(d) from $0$ to $1$ (inclusive)

Accepted Answer

The probability of an event lies from $0$ to $1$ .

Therefore, The scale of probability is from $0$ to $1$ (inclusive).

Given that,
A die is thrown then the possible outcomes, $(S) = {1, 2, 3, 4, 5, 6}$
Let $E$ be the event of not getting a multiple of $3$
$(E) = {1, 2, 4, 5}$
We know that, $P (E) = \frac{n (E)}{n (S)}$
$= \frac{4}{6}$
$=$ $\frac{2}{3}$

A fair die is thrown
The possible outcomes $(S) = {1, 2, 3, 4, 5, 6}$
Let $E$ be the event of not getting a prime number
$E = {1, 4, 6}$
$P (E) = \frac{n (E)}{n (S)}$
$= \frac{3}{6}$
$=$ $\frac{1}{2}$

Let $E$ be the event of a batsman hits a boundary.
Let $F$ be the event of a batsman not hitting a boundary
Number of balls he played $= 3$ overs $= 18$ balls

$P (E) = \frac{number of favourable outcomes}{total number of outcomes}$
$= \frac{3}{18}$
$= \frac{1}{6}$
We know that, $P (E) + P (F) = 1$
$\Rightarrow P (F) =$ $1 - \frac{1}{6}$
$\Rightarrow P (F) = \frac{5}{6}$
$∴$ The probability that the batsman did not hit the boundary is $\frac{5}{6}$ .

Column A Column B

(A) The scale of the probability is (d) from $0$ to $1$ (inclusive)

(B) The probability of not getting a multiple of $3$ when a die is thrown is. (a) $\frac{2}{3}$

(C) A fair die is thrown, the probability of not getting a prime number is (b) $\frac{1}{2}$

(D) In a cricket match hits a boundary $3$ times in $3$ overs he played. The probability that he did not hit the boundary is (c) $\frac{5}{6}$

Important Questions on Statistics and Probability

Learn and Prepare for any exam you want !

Across $\to$
1. Most frequency occurring observation. 4. Difference between the upper limit and the lower limit of a class. 5. Branch of mathematics that deals with the presentation. 7. Value of the middle most observation. 8. Number of times an observation occur in the data. 9. Mid-value of a class interval.
Down $↓$
2. Numerical facts collected with a definite purpose. 3. The difference between the highest and the lowest value of the data. 6. Sum of the values of observations divided by the number of observation.

ACROSS $⟶$
1. An event with a probability of $0$ 2. Two events are _____ if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed. 6. The _____ of an event is all outcome different from the favourable outcome. 7. A situation involving chance or probability that leads to a result called outcome. 10. The chance that an event will occur expressed as the ratio of the number of favourable outcomes to the number of possible outcomes. 11. Events are _____ exclusive if they cannot occur at the same time.
DOWN $↓$
1. _____ events are events for which the outcome of the second event does not depend on the outcome of the first event. 3. A possible set of outcomes for an experiment. 4. A _____ space is the set of all possible outcomes for an experiment. 5. A result of an experiment. 6. _____ probability is the probability of an event occurring given that another event also occurs. 8. Outcomes are _____ likely if they have the same chance of occurring. 9. A _____ event has a probability of $1$ .