Question

question 10 (experimental probability mc) a student randomly draws a card from a standard deck of 52 cards, records the type of card drawn, and places 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 frequency heart 7 spade 3 club 6 diamond 4 o 0.19 o 0.20 o 0.35 o 0.70

Explanation:

Step1: Find total number of trials

The experiment is repeated 20 times, so the total number of trials $n = 4 + 6+3 + 7=20$.

Step2: Calculate experimental - probability of drawing a diamond

The frequency of drawing a diamond is $f = 4$. The formula for experimental probability $P=\frac{f}{n}$. Substitute $f = 4$ and $n = 20$ into the formula: $P=\frac{4}{20}=0.20$.

Answer:

0.20