Question

A coin is tossed 100 times and the following outcomes are recorded
Head:45 times
Tails:55 times from the experiment
a) Compute the probability of each outcomes.
b) Find the sum of probabilities of all outcomes.

Answer 1

Question

A coin is tossed 100 times and the following outcomes are recorded

Head: 45 times

Tails: 55 times.

a) Compute the probability of each outcomes.

b) Find the sum of probabilities of all outcomes.

Answer

a) Outcomes

Head - 45

Tail - 55

$\mathsf{Probability \: of \: getting \: a \: Head \ =\frac{No \ Of\ Favourable \ Outcomes}{Total \ No \ Of \ Outcomes}}$

⇒ p [getting a Head] = ${\mathsf{\frac{45}{100}}$

⇒ p [getting a Head] = $\mathsf{\frac{9}{20}}$

$\mathsf{Probability \: of \: getting \: a \: Tail \ =\frac{No \ Of\ Favourable \ Outcomes}{Total \ No \ Of \ Outcomes}}$

⇒ p [getting a Tail] = ${\mathsf{\frac{55}{100}}$

⇒ p [getting a Tail] = $\mathsf{\frac{11}{20}}$

b) We know that, the only two possible outcomes when one coin is tossed is a Head, or Tail.

Hence, there are 2 probabilities, and we must add the respective probabilities.

Sum of all Probabilities = Probab. Of getting a Head + Probab. of getting a Tail

= $\mathsf{\frac{9}{20}}$ + $\mathsf{\frac{11}{20}}$

= $\mathsf{\frac{9 \ + \ 11}{20}}$

= $\mathsf{\frac{20}{20}}$

∴ Sum of all Probabilities = 1

Answer 2

$\huge \bf{ \red{ANSWER}}$





$\bf{QUESTION}$
A coin is tossed 100 times and the following outcomes are recorded
Head:45 times
Tails:55 times from the experiment
a) Compute the probability of each outcomes.
b) Find the sum of probabilities of all outcomes..


$\bf{STEP \: BY \: STEP \: EXPLANATION}$


$\bf{GIVEN}$

Number of coins tossed= 1

AND

Number of times tossed= 100

Total number of head= 45

Total number of tail= 55


NOW

SOLVING QUESTION (A)

______________________________

A) probability of head

=> number of coming head/total number of times coin tossed



=> 45/100

And

probablity of tail


=> Number of coming tail/total number of times coin tossed

=> 55/100


B). SUM OF PROBABILITY OF ALL OUTCOMES

=> 45/100+55/100
=>46+55/100

=> 100/100

=>1




$\huge \bf { \pink{ \boxed{ \boxed{ \:{THANKS}}}}}$