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Axiomatic Approach

State true or...

Question

State true or false
A probability experiment was conducted. Following number is considered as a probability of an outcome?
$- 0.78$

A

True

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B

False

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Solution

The correct option is B False
$P r o b a b i l i t y o f o u t c o m e = - 0.78 < 0 P r o b a b i l i t y c a n^{'} t b e l e s s t h a n 0 h e n c e i t^{'} s a f a l s e s t a t e m e n t$

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Q. The probability that is based on the number of times the event has occured during the experiment and the total number of times the experiment was conducted is known as experimental probability.

Q. Fill in the blanks:

(i) Probability of a sure event is ...............

(ii) Probability of an impossible event is ................

(iii) The probability of an event (other than sure and impossible event) lies between .................

(iv) Every elementary event associated to a random experiment has .............. probability.

(v) Probability of an event A + Probability of event 'not A' = ................

(vi) Sum of the probabilities of each outcome in an experiment is ................

When a die was rolled 60 times, the following was observed. [4 MARKS]

$\begin{matrix} Outcome & 1 & 2 & 3 & 4 & 5 & 6 Frequency & 9 & 10 & 12 & 13 & 7 & 9 \end{matrix}$

(i) Which number had an experimental probability that matched the theoretical probability?

(ii) How many numbers had an experimental probability that was less than that which would have been predicted by theoretical probability?

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