Question

A coin is tossed $400$ times and the data of outcomes is below:

Outcomes	$H$	$T$
Frequency	$280$	$120$

Find:

(i) $P\left(H\right)$, i.e., probability of getting head

(ii) $P\left(T\right)$, i.e., probability of getting tail.

(iii) The value of $P\left(H\right)+P\left(T\right)$.

• A. $\left(i\right)0.5$
  $\left(ii\right)0.2$
  $\left(iii\right)1$
• B. $\left(i\right)0.7$
  $\left(ii\right)0.3$
  $\left(iii\right)1$
• C. $\left(i\right)0.9$
  $\left(ii\right)0.4$
  $\left(iii\right)1$
• D. None of these
  

Answer 1

The correct option is B $\left(i\right)0.7$

$\left(ii\right)0.3$
$\left(iii\right)1$
A coin is tossed $400$ times,
$\left(i\right)$ Number of times Heads is the outcome $=280$
Probability of getting a head, $P\left(H\right)=\frac{280}{400}=\frac{7}{10}=0.7$
$\left(ii\right)$ Number of times Tails is the outcome $=120$
Probability of getting a tails, $P\left(T\right)=\frac{120}{400}=\frac{3}{10}=0.3$
$\left(iii\right)P\left(H\right)+P\left(T\right)=0.7+0.3=1$