franciscos game involves a bag of 3 green, 2 yellow, 4 red, and 3 black marbles. andrew wants to increase…

franciscos game involves a bag of 3 green, 2 yellow, 4 red, and 3 black marbles. andrew wants to increase the likelihood of selecting a yellow marble. how can the game be modified to make drawing a yellow marble more likely? select all that apply. andrew should add more green marbles to the bag. andrew should add more yellow marbles to the bag. andrew should remove from the bag 1 green, 1 black, and 2 red marbles. andrew should add more black marbles to the bag. andrew should triple the number of yellow marbles in the bag.

franciscos game involves a bag of 3 green, 2 yellow, 4 red, and 3 black marbles. andrew wants to increase the likelihood of selecting a yellow marble. how can the game be modified to make drawing a yellow marble more likely? select all that apply. andrew should add more green marbles to the bag. andrew should add more yellow marbles to the bag. andrew should remove from the bag 1 green, 1 black, and 2 red marbles. andrew should add more black marbles to the bag. andrew should triple the number of yellow marbles in the bag.

Answer

Explanation:

Step1: Recall probability concept

The probability of selecting a yellow marble is $\frac{\text{number of yellow marbles}}{\text{total number of marbles}}$. To increase this probability, we need to increase the number of yellow marbles or decrease the number of non - yellow marbles.

Step2: Analyze each option

  • Option 1: Adding more green marbles increases the total number of marbles without increasing yellow marbles, so it decreases the probability of selecting a yellow marble.
  • Option 2: Adding more yellow marbles increases the numerator of the probability fraction, thus increasing the probability of selecting a yellow marble.
  • Option 3: Removing 1 green, 1 black, and 2 red marbles decreases the total number of non - yellow marbles, increasing the probability of selecting a yellow marble.
  • Option 4: Adding more black marbles increases the total number of marbles without increasing yellow marbles, so it decreases the probability of selecting a yellow marble.
  • Option 5: Tripling the number of yellow marbles increases the numerator of the probability fraction, thus increasing the probability of selecting a yellow marble.

Answer:

B. Andrew should add more yellow marbles to the bag. C. Andrew should remove from the bag 1 green, 1 black, and 2 red marbles. E. Andrew should triple the number of yellow marbles in the bag.