On each of three consecutive days the national weather service announces that there is a 50-50 chance of rain. assuming that the national weather service is correct, what is the probability that it rains on at most one of the three days? (hint: represent the outcome that it rains on day 1 and doesn’t rain on days 2 and 3 as rnn.)

1. 50%
2. 33%
3. 37.5%.
4. none of the above.

1. 50%

Step-by-step explanation:

For each day, there are only two possible outcomes. Either it does rain, or it does not, so we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

We want to find

NNN + RNN + NRN + NNR

This is

So

The correct answer is:

1. 50%

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

only 10/60 isn't equivalent

hope this : )