Answer: The required probability is 0.25.
Step-by-step explanation:
Since we have given that
Radius of the dartboard = 4 in
Area of the dartboard is given by

Radius of the shaded region = 2 in
Area of shaded region is given by

So, the probability that the dart lands in the shaded circular region is given by

Hence, the required probability is 0.25.
Answer:
Since the two base angles are congruent (same measure), they are each 70°. If we are given a base angle of say 45°, we know the base angles are congruent (same measure) and the interior angles of any triangle always add to 180°.
Answer:
1/3
Step-by-step explanation:
11/12 -7/12 = 11-7/12 =4/12 =1/3
Factors of 6 are : 1,2,3 and 6.
Let us find probability of getting the number that is a factor of 6.

Now let us find probability of getting a number more than 2 (3,4,5,6).

We can see that these two events are mutually inclusive events. We can find probability of mutually inclusive events by formula
.
Now we will find probability of getting the number is a factor of 6 or more than 2 using above formula.
Therefore, our probability will be 1 and this scenario represents mutually inclusive events.
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