Probability of head occurring on flip of coin twice = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Step 1:
Given,
A coin is flipped 2 times. We need to find probability that head occurs both times
Step 2 :
Probability that a head occurs when a coin is flipped = [tex]\frac{1}{2}[/tex]
The probability that head occurs when the coin is flipped again = [tex]\frac{1}{2}[/tex]
This is because the 2 events are independent i,e the result of second event is not dependent on happening of the first event
Hence probability that head occurs on both the flip = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]
Step 3 :
Answer :
Probability of head occurring on flip of coin twice = [tex]\frac{1}{4}[/tex]
