at a track meet with 200 participants, 45 participate in jumping event, 1/3 of these jumpers are female, and 1/2 of the the total participants are female. What is the probability that a participant chosen at random is a jumper, given that the person is a female? Please please help
1/3 of 45 is 15
so 15 females were in the jump
there were 100 females
Use your formula for "conditional probability" found in your text or your notebook and plug in
So 100 is the total?
What if its a fraction that given?
To find the probability that a randomly chosen participant is a jumper, given that the person is female, you need to consider the number of females who are jumpers.
Let's break down the information provided to solve this problem:
- Total participants: 200
- Participants in the jumping event: 45
- Female jumpers: 1/3 of 45 = 15
- Total females: 1/2 of 200 = 100
To find the probability, divide the number of female jumpers by the total number of females:
Probability (female jumper) = (Number of female jumpers) / (Total number of females)
= 15 / 100
= 0.15
Therefore, the probability that a participant chosen at random is a jumper, given that the person is female, is 0.15 or 15%.
I hope this explanation helps you understand how to solve the problem. Feel free to ask if you have any further questions!