1.

A die is thrown 250 times and the outcomes are noted as given below : `|{:("Outcomes", " 1 2 3 4 5 6"),("Frequency"," 60 50 40 20 30 50"):}|` If a die is thrown at random, find the probability of getting. `(i)1" (ii)2 (iii) 3 (iv) 4 (v) 5 (vi) 6"`

Answer» Total number of trials = 250
In a random throw of a dia, let `E_(1),E_(2),E_(3),E_(4),E_(5) and E_(6)` be the events of getting 1, 2, 3, 4, 5 and 6, respectively.
(i) `"P (getting 1)"=P(E_(1))=("number of times 1 appear")/("total number of trials")=(60)/(25)=(6)/(25)`
(ii) `"P (getting 2)"=P(E_(2))=("number of times 2 appears")/("total number of trials")=(50)/(25)=(1)/(5)`
(iii) `"P (getting 3)"=P(E_(3))=("number of times 3 appears")/("total number of trials")=(40)/(250)=(4)/(25)`
(iv) `"P (getting 4)"=P(E_(4))=("number of times 4 appears")/("total number of trials")=(20)/(250)=(2)/(25)`
(v) `"P (getting 5)"=P(E_(5))=("number of times 5 appears")/("total number of trials")=(30)/(250)=(3)/(25)`
(iv) `"P (getting 6)"=P(E_(6))=("number of times 6 appears")/("total number of trials")=(50)/(250)=(1)/(5)`


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