Question

Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write each answer as a fraction, percent, and decimal. P(less than 5) P(greater than 3) P(odd) P(even) P(not a multiple of 4) P(not 5, 6, 7, or 8) P(divisible by 3)

Answer 1

2/5, 0.4, 40%

7/10, 0.7, 70%

1/2, 0.5, 50%

1/2, 0.5, 50%

4/5, 0.8, 80%

3/5, 0.6, 60%

3/10, 0.3 ; 30%

Explanation:

Sample space = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

P(less Than 5) :

Required = (1, 2, 3, 4) = 4 observations

P(less than 5) = 4 / 10 = 2 / 5 = 0.4 = 40%

Greater than 3) = (4, 5,6,7,8,9,10) = 7 observations

P greater Than 3) = 7/10 = 0.7 = 70%

Odd = (1,3,5,7,9) = 5

P(odd) = 5 / 10 = 1/2 = 0.5 = 50%

(even) = (2,4,6,8,10) = 5

P(even) = 5 / 10 = 1/2 = 0.5 = 50%

Not a multiple of 4 = (1,2, 3,5,6,7,9,10) = 8

P(not A multiple of 4) = 8/10 = 4/5 = 0.8 = 80%

not 5, 6, 7, or 8 = (1,2,2,4,9,10).= 6

P(not 5, 6, 7, or 8) = 6 / 10 = 3/5 = 0.6 = 60%

Divisible by 3 = (3, 6, 9) = 3

P(divisible by 3). = 3/10 = 0.3 = 30%