Question

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/20 for blue, 1/25 for yellow, 1/15 for white, and 1/10 for pink. What is the probability of pulling a pink or blue card, written as a reduced fraction?​

Answer 1

To find the probability of pulling a pink or blue card, you can add the individual probabilities of pulling each color:

`\[ P(\text{Pink or Blue}) = P(\text{Pink}) + P(\text{Blue}) \]`

Given that
`\( P(\text{Pink}) = (1)/(10) \)` and
`\( P(\text{Blue})` =
`(1)/(20) \)`, substitute these values into the formula:

`\[ P(\text{Pink or Blue}) = (1)/(10) + (1)/(20) \]`

To add these fractions, find a common denominator, which is 20 in this case:

`\[ P(\text{Pink or Blue}) = (2)/(20) + (1)/(20) \]`

Combine the numerators:

`\[ P(\text{Pink or Blue}) = (3)/(20) \]`

So, the probability of pulling a pink or blue card, written as a reduced fraction, is
`\( (3)/(20) \)`.