Question

5. A coin was tossed for 500 times, the recorded outcomes were heads for 267 times
and tails for 233 times. If the coin was tossed at random, find the probabilities of
getting the following:
(a) Heads
(b) Tails​

Answer 1

$\bf\red{QuestioN:-}$

A coin was tossed for 500 times, the recorded outcomes were heads for 267 times  and tails for 233 times. If the coin was tossed at random, find the probabilities of  getting the following :

(a) Heads

(b) Tails​

$\bf\blue{AnsweR:-}$

Given :-

• Total times the coins were tossed = 500

• Total outcomes of heads = 267

• Total outcomes of tails = 233

To Find :-

The probabilities of getting,

• Head

• Tail

Solution :-

1st Case : ▬

The total outcomes given = 500

Total number of heads = 267

Probability of getting a head ,

$\longrightarrow\bf{\dfrac{Possible\:outcomes}{Total\:number\:of\:outcomes}$

$\longrightarrow\bf{\dfrac{267}{500}$

2nd Case : ▬

Total number of outcomes = 500

Possible outcomes = 233

Probability of getting tail ,

$\longrightarrow\bf{\dfrac{Possible\:outcomes}{Total\:number\:of\:outcomes}$

$\longrightarrow\bf{\dfrac{233}{500}$

The required answer ;

P (getting a head) = 267/500

P (getting a tail) = 233/500

All Done !! ☺