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Explanation:
It helps to make a table of all possible outcomes. Refer to the diagram below. Along the top we have the outcomes 1,2,3,4. Along the left side we have 2,3,4,5. Each row & column header is then added to form the corresponding inner cell. For example, in the top left corner we have 1+2 = 3.
There are 4 outcomes of spinner A and 4 outcomes of spinner B. This means we have 4*4 = 16 outcomes overall. Out of those 16 sums, we have the odd results {3,5,7,9} show up 1+3+3+1 = 8 times.
The probability we want is therefore 8/16 = 1/2. This is expected since half of the values of {1,2,3,4} are odd, and the same applies to {2,3,4,5}. So we should expect half of the sums to be odd as well.
Put another way: for any row or column, you'll find that the pattern is odd/even/odd/even or even/odd/even/odd. This shows that 50% of any row or column represents an odd number. This idea extends out to the entire table overall.
Answer:
1/2.
Step-by-step explanation:
There are 2 odd and 2 even numbers on each spinner.
Odd totals will come from an odd number from the first spinner and an even number from the second spinner, or vice versa.
So the number of possibilities of an odd total = 2 * (2 * 2) = 8.
The total number of all possible outcomes = 4*4 = 16.
So the required probability is 8/16 = 1/2.
