Question

Rachel has a spinner comprised of twelve equal-sized segments. Seven segments are marked $4, and five segments are marked $2. She also has a bag of tokens containing seven $5 tokens and six $10 tokens. If Rachel randomly draws one token and spins the spinner once, what is the probability that the combined value of the outcomes is $7?

Answer 1

Spinner
7 segments-------------------$4
5 segments-------------------$2
12 segments

tokens
7 -------------------$5
6 -------------------$10
13 tokens

The probability that the combined value of the outcomes is $7
spinner-------$2
tokens--------$5
probability spinner-------$2
5/12=0.4166=41.67%

probability tokens-------$5
7/13=0.5385=53.85%

The probability that the combined value of the outcomes is $7
0.4166*0.5385=0.2243=22.43%