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A bag contains n counters.
One counter is blue and the rest are red.
Two counters are taken at random from the bag.
a) Express, in terms of n, the probability that a counter of each colour is
Give your answer as a fraction in its simplest form.
b) The probability that a counter of each colour is taken is 0.125
How many red counters are in the bag?


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Respuesta :

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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