A fair die is tossed 5 times. Let $\dfrac{m}{n}$ be the probability that at least two consecutive tosses have the same number, w

Question

2 years ago

14

here $m$ and $n$ are relatively prime positive integers. Find $m$.

1 answer:

Aleonysh [2.5K] · Answer 1 · 2023-10-14T15:26:39+03:00

The probability that no two consecutive heads will occur is 13/32.

<h2>What is probability?</h2>

It should be noted that probability simply means the likelihood of the occurence of an event based on chance.

In this case, the fair coin is tossed 5 times and we simony want it find the probability that no two consecutive heads will occur.

This will be:

Let n be the number of strings of h

Let t be the length n with two adjacent H's.

Therefore, the probability will be:

= (8+5)/2^5

= 13/32

In conclusion, the probability that no two consecutive heads will occur is 13/32.

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