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A coin is tossed 300 time and we get head:136 time and tail:164 time, when a coin is tossed at random,what is the probability of gettingi) a headii) a tail

Answer»

\large\bf{\underline{\underline{Solution}}}

\sf \underline{Question}

A coin is TOSSED 300 TIME and we get head 136 time and TAIL 164 time, when a coin is tossed at random, what is the probability of getting

i) A head

ii)A tail

\sf\underline{<klux>ANSWER</klux>}

First we will find the probability of head.

Given:

Coin tossed 300 times and we get 136 Times heads and 164 times tails.

To Find:

Probability of getting head.

Solution:

A single coin tossed then we get to results. Such a coin tossed 300 times so we 2^300 results.

That is NUMBER of total outcomes are 2^300.

We have to find the probability of getting head so the possible outcomes are 136.

Hence, probability of getting head = 136/2^300

= 34/75.

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Now we will find the probability of tails.

Given:

Coin is tossed 300 times.

To Find:

The probability of getting tails.

Solution:

The formula of probability is

Probability = number of favorable events/number of total events.

We got head 136 times head in 300 times,

So the probability of getting head is = 136/300

So, 300 - 136 = 164

Probability of getting Tail is 164/300

Now when we'll divide these numbers, we'll get

41/75.

Hence, the Probability of getting Tail is 41/75.

Final Answer:

Probability of Head = 34/75.

Probability of Tails = 41/75.



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