Any event has two possibilities, 'success' and 'failure'. If n is the total number of events, s is the number of success and f is the number of failure then you can find the probability of single and multiple trials. This calculator will help you to find the probability of the success for n number of events represented in a graph.

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Combination _{n}C_{r} = n! / ((n- r)! × r!)
n = number of events
p = Probability of success for each trial
r = 0, 1, ... n

If the total number of events (n) is 4 and the probability of success is 2, then the probability of success for each single trial (p) is 2/4.

Hence, r value varies from 0 to 4.

P (X = 0) is _{4}C_{0} 0.5^{0} (1-0.5)^{4-0}

= 0.625

P (X = 1) is _{4}C_{1} 0.5^{1} (1-0.5)^{4-1}

= 0.25

P (X = 2) is _{4}C_{2} 0.5^{2} (1-0.5)^{4-2}

= 0.375

P (X = 3) is _{4}C_{3} 0.5^{3} (1-0.5)^{4-3}

= 0.25

P (X = 4) is _{4}C_{4} 0.5^{4} (1-0.5)^{4-4}

= 0.625