A bag contains 15 black, 17 green, 22 pink, and 29 yellow tokens. You pick one token at random. Find the probability that it is yellow or black. $$ \mathrm{P}( $$ yellow or black $$ )=[?] $$

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To find the probability of drawing a **yellow** or **black** token from the bag, follow these steps:

1. **Determine the total number of tokens:**

$$
   \text{Total tokens} = \text{Black} + \text{Green} + \text{Pink} + \text{Yellow} = 15 + 17 + 22 + 29 = 83
   $$

2. **Calculate the number of favorable outcomes (yellow or black tokens):**

$$
   \text{Favorable tokens} = \text{Black} + \text{Yellow} = 15 + 29 = 44
   $$

3. **Compute the probability:**

$$
   \mathrm{P}(\text{Yellow or Black}) = \frac{\text{Favorable tokens}}{\text{Total tokens}} = \frac{44}{83}
   $$

4. **(Optional) Convert to decimal or percentage:**

$$
   \frac{44}{83} \approx 0.5301 \text{ or } 53.01\%
   $$

**Final Answer:**

$$
\mathrm{P}(\text{Yellow or Black}) = \frac{44}{83} \approx 0.530 \text{ or } 53.0\%
$$
The probability of drawing a yellow or black token is $$ \frac{44}{83} $$ or approximately 53%.

A bag contains 15 black, 17 green, 22 pink, and 29 yellow tokens. You pick one token at random. Find the probability that it is yellow or black. \( \mathrm{P}( \) yellow or black \( )=[?] \)

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