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Answer:
The probability of getting exactly 2 soles is 0.375.
Step-by-step explanation:
The question is:
If you toss a fair coin 4 times, what's the probability that you get exactly 2 soles?
Solution:
A fair coin has two parts.
On tossing a coin once there is 50-50 odds of both the sides.
So, the probability of one side is, <em>p</em> = 0.50.
It is provided that a fair coin is tossed <em>n</em> = 4 times.
The event of any of the sides showing up after the toss are independent of each other.
The random variable <em>X</em> defined as soles, follows a Binomial distribution with parameters <em>n</em> = 4 and <em>p</em> = 0.50.
The probability mass function of <em>X</em> is:
Compute the probability of getting exactly 2 soles as follows:
Thus, the probability of getting exactly 2 soles is 0.375.