fran the fearless has a well - known act at a local zoo. as part of the act, fran handles a scary animal…

fran the fearless has a well - known act at a local zoo. as part of the act, fran handles a scary animal that she picks at random out of the box of terror. the following animals are in the box: 4 poisonous snakes, 9 poisonous spiders, and 10 nonpoisonous spiders. but, there are no nonpoisonous snakes. what is the probability that the animal fran picks is nonpoisonous or is a snake? do not round intermediate computations, and round your answer to the nearest hundredth.

fran the fearless has a well - known act at a local zoo. as part of the act, fran handles a scary animal that she picks at random out of the box of terror. the following animals are in the box: 4 poisonous snakes, 9 poisonous spiders, and 10 nonpoisonous spiders. but, there are no nonpoisonous snakes. what is the probability that the animal fran picks is nonpoisonous or is a snake? do not round intermediate computations, and round your answer to the nearest hundredth.

Answer

Explanation:

Step1: Calculate total number of animals

$4 + 9+10=23$

Step2: Calculate number of non - poisonous or snake animals

Number of non - poisonous animals is 10 (non - poisonous spiders), number of snakes is 4. There is no overlap (no non - poisonous snakes). So number of non - poisonous or snake animals is $10 + 4=14$.

Step3: Calculate the probability

Probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{14}{23}\approx0.61$

Answer:

$0.61$