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A die is thrown $450$ times and frequencies of the outcomes  $1,2,3,4,5,6$ were noted as given in the following table

outcome$1$$2$$3$$4$$5$$6$
Frequency$73$$70$$74$$75$$80$$78$

(i) $4$ (ii) a number $<4$

Solution:-

In the question it is given that,

a die is thrown $450$ times

So, total number of times die thrown = $450$

  •   Number of times $4$ come on the die = $75$

$P(4$ will come up on die) = Number of times $4$ come up/Total number of times the die is

thrown

= 75/450

= 1/6  

= $0.166$

  • Number of times less than 4 come on the die   

= $73$+$70$+$74$ =$217$

$P(<4$ will come up on die) = Number of times $(<4)$ come up/Total number of times

the die is thrown

= $\frac{217}{450}$

= $0.482$