Question

if a coin is tossed 4 times, the odds of it coming up either heads every time or tails every time are 1:7.What is the probability the coin comes up all heads or all tails after 4 tosses?

Answer 1

Answer:

$1$

Explanation:

From the question, we have it that the probability of heads coming up every time or tail coming up every time is 1:7 if the coin is tossed in 4 tosses

What this means is that we have a probability of 1/8 of head showing up and a probability of 7/8 that a tail will show up in each toss of the coin

For four throws, it means all four are heads or all four are tails

If all four are heads, we have the probability of this happening as:

$\text{ (}\frac{1}{8})^{}$

if all four are tails, we have the probability as:

$\frac{7}{8}$

Now, the probability of either heads or all tails after 4 tosses will be:

$\text{ }\frac{1}{8}\text{ + }\frac{7}{8}\text{ = 1}$