Yes, you divide the number of expected outcomes by the number of possible outcomes in order to determine probability.
Not all words have synonyms and/or antonyms. What word could possibly have a meaning opposite to 'order of operations'? Possible synonyms could be heuristic or algorithm.
For each of the coins, in order, you have two possible outcomes so that there are 2*2*2*2 = 16 outcomes in all.
Because if you did operations in an impermissible order, or violated laws of operations, then your solution to the equation is wrong.
Because if you perform the operations in a different order your answer will be wrong.
order of operations
Yes, you divide the number of expected outcomes by the number of possible outcomes in order to determine probability.
For a coin toss, there are 2 possible outcomes (heads or tails). For five tosses, therefore, there are 25 possible outcomes (25 = 32). However, this assumes that order is important (i.e. that HtttH is different to tHtHt). If you don't care what order the heads or tails fall in, there are only 6 outcomes.
There are 24 = 16 ordered outcomes, that is outcomes in which the order of the results is relevant. If not, there are 5 outcomes (0 heads, 1 head, 2 heads, 3 heads and 4 heads).
It depends on the definition of an outcome. If you care about the order of the tosses, <br /> you get 2 possible outcomes per toss. Three tosses give you 2*2*2=8 possible outcomes. If you only care about the final number of heads and tails, there are 4 possible outcomes (3 heads, 2 heads and a tail, a head and two tails, or 3 tails).
Not all words have synonyms and/or antonyms. What word could possibly have a meaning opposite to 'order of operations'? Possible synonyms could be heuristic or algorithm.
For each of the coins, in order, you have two possible outcomes so that there are 2*2*2*2 = 16 outcomes in all.
Agreeing on an order of operations ensures consistent results in mathematical expressions. Without a specific order, different people could interpret the same expression in different ways, leading to confusion and incorrect outcomes. Following a standard order of operations, such as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), helps to maintain clarity and accuracy in mathematical calculations.
When you toss a coin four times, each toss has 2 possible outcomes: heads or tails. To find the total number of outcomes, you multiply the number of outcomes for each toss together. In this case, it would be 2 x 2 x 2 x 2 = 16 possible outcomes.
first you have to keep in mind that probability is # of favorable outcomes/ # of possible outcomes. we already know (given that no two students are the same height) that there is only 1 possible way to order the students from shortest to tallest therefore, we have established that we have 1/# of possible outcomes. to find the number of possible outcomes you take 8 factorial. 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40320. now you have the # of favorable over # of possible = 1/40320 = .0000248015873 = 2.48015873 E-5.
Expressions with the same numbers and operations can have different meanings due to the use of parentheses and the order of operations. The placement of parentheses can change the grouping of numbers and alter the result of the expression. Additionally, following the rules of the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) can lead to different outcomes when evaluating expressions with the same numbers and operations.
Assuming order is irrelevant, 2^5, or 2*2*2*2*2 or 32 possible combos.