1.

In a time interval of 15-minutes, the probability that you may see a shooting star or a bunch of them is 0.2. What is the percentage chance of you seeing at least one star shooting from the sky if you are under it for about an hour?

Answer»

Let us say that PROB is the probability that we MAY see a minimum of one SHOOTING STAR in 15 MINUTES.

So, Prob = 0.2

Now, the probability that we may not see any shooting star in the time duration of 15 minutes is = 1 - Prob

1-0.2 = 0.8

The probability that we may not see any shooting star for an hour is: 

= (1-Prob)(1-Prob)(1-Prob)*(1-Prob)
= 0.8 * 0.8 * 0.8 * 0.8 = (0.8)⁴  
≈ 0.40

So, the probability that we will see one shooting star in the time interval of an hour is = 1-0.4 = 0.6

So, there are approximately 60% chances that we may see a shooting star in the time span of an hour.



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