Question

# A coin is tossed 300 times and we get head : 136 times and tail : 164 times. When a coin is tossed at random, What is the probability of getting (i) a head, (ii) a tail?

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Solution

## Total number of trials = 300 Number of times a head is obtained = 136 Number of times a tail is obtained= 164 (i) Probability of getting head =$\frac{\mathrm{Numbe}r\mathrm{of}\mathrm{times}\mathrm{heads}\mathrm{is}\mathrm{obtained}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{trials}}$=$\frac{136}{300}=\frac{34}{75}$ (ii) Probability of getting a tail =$\frac{\mathrm{Number}\mathrm{of}\mathrm{times}\mathrm{tails}\mathrm{is}\mathrm{obtained}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{trials}}$=$\frac{164}{300}=\frac{41}{75}$

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