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Q3 (can i solve like this)desired outcomes. 1-5,6. 2-4,5,6. 3-3,4,5,6. 4,. 5,. 6.total sample space =21so, probability = 10/21
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Q3 (can i solve like this)desired outcomes. 1-5,6. 2-4,5,6. 3-3,4,5,6....
Probability of Desired Outcomes

To solve the given problem, we need to find the probability of each desired outcome and then calculate the total probability.

Desired Outcomes

The desired outcomes are given as follows:

1. Desired Outcome 1: Outcomes 1, 2, 3, 4, 5, 6
2. Desired Outcome 2: Outcomes 4, 5, 6
3. Desired Outcome 3: Outcomes 3, 4, 5, 6

Calculating Probabilities

To calculate the probability of each desired outcome, we need to determine the number of outcomes in each desired outcome set and divide it by the total number of possible outcomes.

1. Desired Outcome 1: This set includes outcomes 1, 2, 3, 4, 5, and 6. So, the number of outcomes in this set is 6.
2. Desired Outcome 2: This set includes outcomes 4, 5, and 6. So, the number of outcomes in this set is 3.
3. Desired Outcome 3: This set includes outcomes 3, 4, 5, and 6. So, the number of outcomes in this set is 4.

The total number of possible outcomes is given as 21.

Calculating Probability

To calculate the probability, we divide the number of outcomes in each desired outcome set by the total number of possible outcomes.

1. Probability of Desired Outcome 1: 6/21 = 2/7
2. Probability of Desired Outcome 2: 3/21 = 1/7
3. Probability of Desired Outcome 3: 4/21

Total Probability

To calculate the total probability, we need to sum up the probabilities of all desired outcomes.

Total Probability = Probability of Desired Outcome 1 + Probability of Desired Outcome 2 + Probability of Desired Outcome 3
= 2/7 + 1/7 + 4/21
= 10/21

Therefore, the probability of the desired outcomes is 10/21.

Conclusion

In this problem, we calculated the probabilities of three desired outcomes and then determined the total probability. The probability of the desired outcomes is 10/21.
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