9.1 roll a fair 10-sided die numbered from 1 to 10. Let A be the event...

Question

Question

9.1 roll a fair 10-sided die numbered from 1 to 10. Let A be the event that the outcome is a 4 number greater than 7. Also le

Answer 1

Answer #1

9.1. a) P(number greater than 7) = 3/10 {8, 9, 10 are the three outcomes that are greater than 10}

= 0.3

b) P(B) = 5/10 {2,4,6,8,10 are the even numbers}

= 0.5

c) P(A $\small \cap$ B) = 2/10 {8, 10}

= 0.2

d) P(A | B) = P(A $\small \cap$ B)/P(B)

= 0.2/0.5

= 0.4

9.2. P(first jar | green) = P(first jar and green) / P(green)

= (1/3 x 3/10)/[(1/3 x 3/10) + (1/3 x 6/10) + (1/3 x 2/10)]

= 3/11

Answer 2

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