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The following frequencies are used while tossing a coin 1,000 times.

$H e a d : 455, T a i l : 545.$

What is the probability of the occurrence of a tail?

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0.543

0.545

0.544

0.517

answer is B.

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Detailed Solution

Given about the recording of tossing a coin for 1000 times;

H e a d : 455, T a i l : 545.

We have to find the probability of the occurrence of a tail.
The probability of an event A is given by,

P (A) = Number of favourable outcomes T o t a l number of outcomes

Total number of outcomes,

n (S) = 1000

Let

B

be the event for the occurrence of tail.
So, n(B) = 545
Then, the probability for the occurrence of Tail-

P (B) = n (B) n (S) ⇒ P (B) = 5451000 ⇒ P (B) = 0.545

Thus, the probability for the occurrence of the tail is

0.545

.
Hence, option 2 is the correct option.

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