Problem

A date is picked at random on the calendar for April. \begin{tabular}{||c|c|c|c|c|c|c|} \hline \multicolumn{8}{|c|}{ April } \\ \hline 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ 8 & 9 & 10 & 11 & 12 & 13 & 14 \\ 15 & 16 & 17 & 18 & 19 & 20 & 21 \\ 22 & 23 & 24 & 25 & 26 & 27 & 28 \\ \hline 29 & 30 & & & & & \\ \hline \end{tabular} What is the probability that the date chosen will be a two-digit odd number? $\frac{1}{3}$ $70 \%$ $\frac{1}{2}$ $10 \%$

Solution

Step 1 :To solve this problem, we need to determine the total number of two-digit odd numbers in April and divide that by the total number of days in April.

Step 2 :April has 30 days, so that is the denominator of the probability fraction.

Step 3 :For the numerator, we count the two-digit odd numbers, which are 11, 13, 15, 17, 19, 21, 23, 25, 27, and 29.

Step 4 :That's a total of 10 two-digit odd numbers.

Step 5 :The probability is calculated as the number of two-digit odd numbers divided by the total number of days in April.

Step 6 :The calculation is \( \frac{10}{30} \)

Step 7 :Simplifying the fraction, we get \( \frac{1}{3} \)

Step 8 :Final Answer: \(\boxed{\frac{1}{3}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/tYMRMjmWds/

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