Answer :
Answer:
1/81
Step-by-step explanation:
P(H,H,H,H)=16/81
fourth root of 16/81= 2/3
so the probability of getting tails would be 1/3
probability of getting 4 tails would be:
P(T,T,T,T)=(1/3)^4
=1/81
The probability of getting 4 tails when the coin is thrown 4 times is 1/81
How to determine the probability?
We have:
P(Head 4 times) = 16/81
This means that:
P(Head)^4 = 16/81
Take the 4th root of both sides
P(head) = 2/3
The probability of a tail is calculated as:
P(tail) = 1 - P(Head)
This gives
P(tail) = 1 - 2/3
P(tail) = 1/3
When thrown 4 times, we have:
P(tail)^4 = (1/3)^4
P(tail) = 1/81
Hence, the probability of getting 4 tails when the coin is thrown 4 times is 1/81
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