the probability a coin lands on heads 3 times out of four tosses =
the probability a coin lands on heads four times out of six tosses =thanks.the probability a coin lands on heads 3 times out of four tosses is twice the probability a coin lands on heads four times out of six tosses. Prove p must satisfy the equation
anyway, the trick here is to realize that you have a binomial distribution here.
Lets say you are repeating an experiment where each outcome is independent of the others. moreover, each outcome can be considered as a "success" or "failure". Then the probability of successes in trials, is given by:
where is the probability of success and is the probability of failure, and .
Now, for your first problem: and for the second, . plug it in the formula i gave you to derive the desired expressions.
for the last problem, set the expression in the first problem equal to 2 times the expression in the second and simplify to get to what you want