High School

A bag contains 26 counters.

5 of the counters are green.

The remainder of the counters are orange.

One counter is chosen at random.

(a) Work out the probability the counter is orange.

Answer :

Answer:

21/26.

Step-by-step explanation:

The number of orange counters = 21.

So, the probability of choosing an orange counter is

21/26.

The probability that the counter is orange is [tex]\(\frac{21}{26}\).[/tex]

To find the probability of an event, we use the formula:

[tex]\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \][/tex]

In this case, the event is choosing an orange counter from the bag. The total number of counters in the bag is 26.

Out of these, 5 are green, which leaves us with:

[tex]\[ \text{Number of orange counters} = 26 - 5 \][/tex]

[tex]\[ \text{Number of orange counters} = 21 \][/tex]

Now, we can calculate the probability of choosing an orange counter:

[tex]\[ \text{Probability of choosing an orange counter} = \frac{21}{26} \][/tex]

Therefore, the probability that the counter chosen at random is orange is [tex]\(\frac{21}{26}\).[/tex]