Answers:
a) 0.0625
b) 0.9375
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Work Shown:
The probability of landing on heads is 1/2 = 0.5 since both sides are equally likely to land on. Getting 4 heads in a row is (1/2)^4 = (0.5)^4 = 0.0625
The event of getting at least one tail is the complement of getting all four heads. This is because you either get all four heads or you get at least one tail. One or the other must happen. We subtract the result we got from 1 to get 1-0.0625 = 0.9375
You can think of it like this
P(getting all four heads) + P(getting at least one tail) = 1
The phrasing "at least one tail" means "one tail or more".
The probability according to the given scenario will be "
".
According to the question:
- The odds against winning the lottery are 48,000,000 to 1.
- Favorable outcome = 1
→ The total outcome will be:
= 
= 
As we know,
→ 
By putting the values, we get
→ 
Thus the above response is right.
Learn more about Probability here:
brainly.com/question/15739211
In mathematical notation, ∑ means summation. So wherever you see the symbol, you have to sum over all elements in the set. Let's solve the question.
a. ∑m means, to sum all elements in the set m: ∑m = 12 + 15 + 20 + 30 = 77
b. ∑
means to sum all elements in the set f as the square of the elements f = 
c. ∑mf means to sum all elements as the product of the elements of m and f = (12×5) + (15×9) + (20
10) + (30×16) = 875
d. ∑
means to sum all elements as the product of the square of m and f = 
Answer:
-13
Step-by-step explanation:
5x − 3y − z
substitute x = −2, y = 2, and z = −3
5(-2) -3(2) - (-3)
multiply
-10 -6 +3
-16 +3
-13