Question

question 10 (multiple - choice, 2 points) experimental probability (mc) a student randomly draws a card from a standard deck of 52 cards. he records the type of card drawn and replaces it back in the deck. this is repeated 20 times. the table below shows the frequency of each outcome. determine the experimental probability of drawing a diamond. outcome diamond club spade heart frequency 4 6 3 7 options: 0.13 0.20 0.35 0.70

Explanation:

Step1: Calculate total frequency

The total number of trials is the sum of the frequencies of all outcomes. So, $4 + 6+9 + 7=26$.

Step2: Calculate experimental probability of drawing a diamond

The experimental - probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. The number of favorable outcomes (drawing a diamond) is 4, and the total number of outcomes is 26. So, $P=\frac{4}{26}=\frac{2}{13}\approx0.154\approx0.15$.

Answer:

0.15