Answer:
a) 1/64
b) 1/4096
Step-by-step explanation:
As you can tell from the example, the exponent of 1/2 is the number of heads in a row.
a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64
b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096
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<em>Additional comment</em>
The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.
Answer:
<u>The correct answer is A. 10 - 2</u>
Step-by-step explanation:
1. Let's make all the comparisons for the four alternatives:
A. 3 + 7 > 10 - 2 ⇒ 10 > 8, the comparison is correct because 10 is bigger than 8.
B. 3 + 7 > 9 + 4 ⇒ 10 > 13, the comparison is not correct because 10 is less than 13.
C. 3 + 7 > 7 + 3 ⇒ 10 > 10, the comparison is not correct because 10 is equal to 10.
D. 3 + 7 > 8 + 2 ⇒ 10 > 10, the comparison is not correct because 10 is equal to 10.
<u>The only correct comparison is A. 10 - 2.</u>
The commutative property pf addition is a+b=b+a
