Question

4.Toss a coin 7 times.Note down itsoutcome.Repeat the same activity once more and compare its outcome.​

Answer 1

Answer:

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Depending on how you want to interpret the question, there are two possible answers:

If you are only interested in the total number of heads (and the number of tails), there are 8 possible outcomes: 0, 1, 2, …, or 7 heads (and 7,6,5,…, or 0 tails).

If you are also interested in the actual order of the heads and tails, there are 2^7 = 128 different outcomes because each individual toss can lead to two possible outcomes — and because order matters, you need to multiply the possible outcomes of each individual toss with each other: 2*2*2*2*2*2*2 = 2^7. You can view each sequence of tosses as a binary number if you label tails as 0 and heads as 1. Then a sequence of five heads and two tails could be written as 0011111 (starting from the right). It is easy to see that this number will be different if we switch one of the ones to zero or vice versa — similarly, the sequence of heads and tails will be different.