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Tell whether the following statement is true or false:

A coin is tossed 80 times with the outcomes head 35 times and tail 45 times. In a single throw of a coin, if E is the event of getting a head, then p (E) = 1 - P (not E).

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True

False

answer is A.

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Detailed Solution

Given that a coin is tossed 80 times, with 35 heads and 45 tails as the results.
Number of times head appeared = 35
And, total number of outcome = 80
The probability of an event =

\frac{Number of favorable outcomes}{Total number of outcomes}

Now, the probability of getting head is,

= Number of times head appeared Total number of outcomes = 3580

= 716

As, probability of not getting head is equal to the probability of getting a tail, the probability of getting tail is,

= Number of times tail appeared Total number of outcomes = 4580

= 916

According to the question,
Probability of getting head =1 – the probability of getting tail
Considering the R.H.S,

= 1 − 916 = 716

= L.H.S
Given statement is true.
Hence, option 1 is correct.

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