Respuesta :

Answer:

The probability of rolling a 6 on the next toss = 1/6

Step-by-step explanation:

Given - Using a six-sided die, you have rolled a 6 on each of four successive tosses.

To find - What is the probability of rolling a 6 on the next toss?

Proof -

As the outcomes of previous rolls do not affect the outcomes of future rolls.

And there is one desired outcome and six possible outcomes.

So,

The probability of rolling a six on the fifth roll = 1/6 which is same as the probability of rolling a six on any given individual roll.

So,

The answer is -

The probability of rolling a 6 on the next toss = 1/6

In a six-sided die, by rolling a 6 on each of four successive tosses. the probability on the next toss is 1/6.

A six-sided die rolled 6 on each of four successive tosses.

What is probability?

It is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The number of favorable outcomes of the die is 1 and the total number of outcomes of the six-sided die is 6.

So, The probability of rolling a six on the fifth roll = 1/6, which is the same as the probability of rolling a six on any given individual roll.

The probability of rolling a 6 on the next toss = 1/6.

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