Question

Two coins are tossed simultaneously 500 times with the following frequencies of different outcomes :

Two heads : 95 times

One tail : 290 times

No head : 115 times

Find the probability of occurrence of each these events.[NCERT]

Answer 1

Two coins are tossed together simultaneously 500 times

$\therefore$ Total outcomes (n) =500

(i) 2 heads coming (m) =95 times

$\therefore$ probalility P(A) =$\frac{m}{n}$

=$\frac{No.ofpossibleevents}{Totalnumberofevents}$

=$\frac{95}{500}=\frac{19}{100}=0.19$

(ii) One tail (m) =290 times

$\therefore$ Probability P(A) =$\frac{m}{n}=\frac{290}{500}=\frac{580}{1000}=\frac{58}{100}=0.58$

(iii) No head (m) =115 times

$\therefore$ Probability P(A) =$\frac{m}{n}=\frac{115}{500}=\frac{23}{100}=0.23$