Final answer:
The probability of winning a bet with odds of 4 to 5 in favor is 0.44. This is calculated by dividing the number of wins (4) by the total number of chances (9). Therefore, the correct answer is A) 0.44.
Step-by-step explanation:
If the odds given are 4 to 5 in favor of winning a bet, this means that for every 4 successes, there are 5 chances to win. To calculate the probability of winning, one would add up the total number of chances (both winning and losing) and then divide the number of winning chances by the total.
Total chances = 4 (wins) + 5 (losses) = 9
Probability of winning = Number of wins / Total chances = 4 wins / 9 total chances
To get this as a decimal, we divide 4 by 9, resulting in approximately 0.4444. When rounded to two decimal places, as is typical in probability, this becomes 0.44. This means that the correct answer is option A) 0.44.