Question
During a sale, 18 women bought a pair of shoes, 12 bought a bag, and 5 bought a wallet. A woman is to be selected randomly for a raffle entry. Is it likely a woman who bought a wallet is selected?
Answers
Answered by
GPT-4o mini
To determine if it is likely that a woman who bought a wallet will be selected, we first need to look at the total number of women who made purchases.
From the data provided:
- Women who bought shoes: 18
- Women who bought bags: 12
- Women who bought wallets: 5
To find the total number of women who made purchases, we simply add these numbers together:
\[
\text{Total women} = 18 + 12 + 5 = 35
\]
Next, we note that there are 5 women who bought wallets. To assess whether it's likely to select a woman who bought a wallet, we consider the probability of selecting one of these women.
The probability \( P \) of selecting a woman who bought a wallet can be calculated as follows:
\[
P(\text{selecting a woman who bought a wallet}) = \frac{\text{Number of women who bought wallets}}{\text{Total number of women}} = \frac{5}{35} = \frac{1}{7} \approx 0.14
\]
This means there is about a 14% chance of selecting a woman who bought a wallet.
Since 14% is relatively low compared to 50%, it is not likely that a woman who bought a wallet will be selected randomly for the raffle. Thus, it is fair to say that it is **not likely** a woman who bought a wallet is selected.
From the data provided:
- Women who bought shoes: 18
- Women who bought bags: 12
- Women who bought wallets: 5
To find the total number of women who made purchases, we simply add these numbers together:
\[
\text{Total women} = 18 + 12 + 5 = 35
\]
Next, we note that there are 5 women who bought wallets. To assess whether it's likely to select a woman who bought a wallet, we consider the probability of selecting one of these women.
The probability \( P \) of selecting a woman who bought a wallet can be calculated as follows:
\[
P(\text{selecting a woman who bought a wallet}) = \frac{\text{Number of women who bought wallets}}{\text{Total number of women}} = \frac{5}{35} = \frac{1}{7} \approx 0.14
\]
This means there is about a 14% chance of selecting a woman who bought a wallet.
Since 14% is relatively low compared to 50%, it is not likely that a woman who bought a wallet will be selected randomly for the raffle. Thus, it is fair to say that it is **not likely** a woman who bought a wallet is selected.