Question

Find the expected number of heads in $100$ throws with a fair coin.​

Answer 1

Answer:

Given and Find:

• Find the expected number of heads in $100$ throws with a fair coin.

ㅤ

• As per the question, the probability of heads in a hundred thousands with a fair coin = $\bold{\bigg(\dfrac{1}{2}\bigg)^{n}}$

ㅤ

We know that, theres is one coin and two possibilities.

• (1) Heads,
• (2) Tails. ㅤ

ㅤ

• $\bold{\dfrac{1}{2}}$

ㅤ

The term "n" refers the number of possible chances.

ㅤ

• Expected number of heads = $\bold{\bigg(\dfrac{1}{2}\bigg)^{n}}$

• Expected number of heads = $\bold{\bigg(\dfrac{1}{2}\bigg)^{100}}$

ㅤ

Here, "n" refers "100" as the possibility of chances.

ㅤ

Answer 2

Answer:

ur answer is in the attachment

hope it's helpful to you

thnku !!