Probability is a branch of mathematics that deals with the occurrence of a random event.
(a). The probability of counter of each colour is [tex]\frac{1}{n}[/tex]
(b).There are 7 red counters are in the bag.
(a). Probability of event to happen is calculated by using below formula,
P(E) = Number of favourable outcomes / Total Number of outcomes.
Since, Bag contains n counters 1 of the counter are blue and rest counters are of red color.
Total number of counters = n
Number of blue counters = 1
Number of red counters = n - 1
Two counters are taken at random from the bag.
Then, Probability of the both counter are of different color,
[tex]\frac{1}{n}*\frac{n-1}{n-1} =\frac{1}{n}[/tex]
(b). Since, The probability that a counter of each colour is taken is 0.125
So, [tex]\frac{1}{n}=0.125\\\\n=8[/tex]
Number of red counters = n - 1
Thus, number of red counters = 8 - 1 = 7
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