Samiatk
Answered

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When a biased coin is thrown 4 times, the probability of getting 4 heads is
16
81
Work out the probability of getting 4 tails when the coin is thrown 4 times.

Sagot :

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

MrRoyal

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

Read more about probability at:

https://brainly.com/question/25870256

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