What is the probability that the number of “HEADs” on these four coins is equal to 3? (4 points)
1 answer:
Answer:
a.
Step-by-step explanation:
We are asked to find the probability of getting 3 heads on 4 flips.
Since we know that flipping a fair coin has 2 equally likely possible outcomes, so flipping four coins will have possible outcomes.
Sample space of possible outcomes.
HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT,
THHH, THHT, THTH,THTT, TTHH, TTHT, TTTH, TTTT.
We can see that there are 4 favorable outcomes of getting heads.
Therefore, the probability of getting 3 heads on 4 coins will be and option a is the correct choice.
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Answer:
see below
Step-by-step explanation:
The exponent rules that apply are ...
(a^b)(a^c) = a^(b+c)
a^-b = (1/a)^b
(a^b)^c = a^(b·c)
_____
These let you rewrite the given function as ...
f(x) = (3^(2x))(3^1) = 3(3^(2x)) = 3(3^2)^x = 3·9^x
and
f(x) = 3^(2x+1) = (3^-1)^(-(2x+1)) = (1/3)^-(2x+1)
