Question

Write L if it is likely to happen and U if unlikely to happen.

1.2:3 6.8:11 11.6:13
2.4:15 7.9:20 12.4:9
3.3/10 8.11:25 13.2:5
4.13/21 9.5/16 14.19/45
5.6/16 10.7/12 15.12/25



Answer the following questions.

Which is likely to happen, an event with a probability of 4/5 or 5/8!

Which is unlikely to happen, an event with probability of 3/8 or 3/5?

Which is more likely to happen, an event with probability of 4/5 or 4/7?

Which is more unlikely to happen, an event with probability of 0.3 or 0.09?

Which is most likely to happen, an event with probability of 2/3,4/5 or 5/6?

Answer 1

Probabilities

Likely to happen (L) Unlikely to happen (U)

a. 4/5 5/8

b. 3/5 3/8

c. 4/5 4/7

d. 0.3 0.09

e. 5/6 and 4/5 2/3

Explanation:

Probabilities in Percentages:

a. The probability of 4/5 = 80% and 5/8 = 62.5%

b. The probability of 3/8 = 37.5% and 3/5 = 60%

c. The probability of 4/5 = 80% and 4/7 = 57%

d. The probability of 0.3 = 30% and 0.09 = 9%

e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%

b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms. When this is done, the relative sizes become obvious, and then, comparisons can be made.