Question

a fair coin is tossed 500 times and head appears 300 times.find the sum of the probability of getting a head and probability of getting a tail.

Answer 1

$$\begin{gathered} \mathrm{Number}\mathrm{of}\mathrm{times}\mathrm{a}\mathrm{coin}\mathrm{is}\mathrm{tossed}=500 \\ \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{possible}\mathrm{outcomes}=500 \\ \mathrm{Number}\mathrm{of}\mathrm{times}\mathrm{head}\mathrm{appears}=300 \\ \mathrm{So},\mathrm{number}\mathrm{of}\mathrm{times}\mathrm{Tail}\mathrm{appears}=500-300=200 \\ \mathrm{P}\left(\mathrm{head}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{times}\mathrm{head}\mathrm{appears}}{\mathrm{Number}\mathrm{of}\mathrm{times}\mathrm{a}\mathrm{coin}\mathrm{is}\mathrm{tossed}}=\frac{300}{500}=\frac{3}{5} \\ \mathrm{P}\left(\mathrm{tail}\right)=\frac{\mathrm{Number}\mathrm{of}\mathrm{times}\mathrm{tail}\mathrm{appears}}{\mathrm{Number}\mathrm{of}\mathrm{times}\mathrm{a}\mathrm{coin}\mathrm{is}\mathrm{tossed}}=\frac{200}{500}=\frac{2}{5} \\ \mathrm{P}\left(\mathrm{head}\right)+\mathrm{P}\left(\mathrm{tail}\right)=\frac{3}{5}+\frac{2}{5}=1 \end{gathered}$$