Multiple Choice
A weatherman states that the probability that it will rain tomorrow is 10%, or 0.1, & the probability that it will snow is 25%, or 0.25. What is the probability that it will not rain or snow?
4. Probability
Complements
Struggling with Statistics for Business?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
When drawing a marble out of a bag of red, green, and yellow marbles 8 times, a red or yellow marble is drawn 6 times. What is the probability of drawing a green marble?
A
B
C
D
Verified step by step guidance1
Step 1: Understand the problem. We have a bag of marbles with three colors: red, green, and yellow. We know that a red or yellow marble is drawn 6 times out of 8 draws.
Step 2: Calculate the number of times a green marble is drawn. Since red or yellow marbles are drawn 6 times, the remaining draws must be green marbles. Therefore, the number of green marbles drawn is 8 - 6 = 2.
Step 3: Determine the probability of drawing a green marble. Probability is calculated as the number of successful outcomes divided by the total number of trials. Here, the successful outcome is drawing a green marble, which happened 2 times out of 8 draws.
Step 4: Set up the probability formula. The probability of drawing a green marble is given by: \( P(\text{green}) = \frac{\text{Number of green marbles drawn}}{\text{Total number of draws}} = \frac{2}{8} \).
Step 5: Simplify the fraction to find the probability. Simplify \( \frac{2}{8} \) to its lowest terms to find the probability of drawing a green marble.
4:23mWatch next
Master Complementary Events with a bite sized video explanation from Patrick
Start learning