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 of these events.
Given:
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
To do:
We have to find the probability of occurrence of each of these events.
Solution:
Total number of events $=500$
Number of events in which two heads occur $=95$
Number of events in which one tail occurs $=290$
Number of events in which no head occurs $=115$
We know that,
Probability of an event=$ \frac{Number \ of \ favourable \ outcomes}{Total \ number \ of \ outcomes}$
Therefore,
Probability of getting two heads $=\frac{95}{500}$
$=0.19$
Probability of getting one tail $=\frac{290}{500}$
$=0.58$
Probability of getting no head $=\frac{115}{500}$
$=0.23$
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