Middle School

There are 20 counters in a bag.

- 3 of the counters are red.
- 2 of the counters are blue.
- 5 of the counters are yellow.
- The rest of the counters are green.

Ajay takes a counter at random from the bag.

(c) Show that the probability that this counter is yellow or green is...

Answer :

Answer:

0.75

Step-by-step explanation:

Green = 20 - 3 - 2 - 5 = 10

Yellow or green = 5+10 = 15

P(yellow or green) = 15/20

= 3/4 = 0.75

The probability of Ajay picking either a yellow or green counter from the bag is 3/4 or 75% because there are 15 yellow or green counters out of a total of 20 counters.

To find the probability that Ajay picks either a yellow or green counter from the bag, we first need to know the total number of yellow and green counters in the bag. We are given that there are 5 yellow counters and if we know there are 20 counters in total with 3 red and 2 blue, we can calculate the number of green counters. First, subtract the number of red and blue counters from the total:

20 - 3 (red) - 2 (blue) - 5 (yellow) = 10 (green)

Now we know there are 5 yellow + 10 green = 15 counters that are either yellow or green. The probability of picking a yellow or green counter is then the number of yellow or green counters divided by the total number of counters:

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 15 (yellow or green) / 20 (total counters) = 3/4 or 0.75

Thus, Ajay has a 3/4 or 75% chance of picking either a yellow or green counter from the bag.