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
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
outcome123456
Frequency737074758078

(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