Conditional probability and independence

Question 1

Survey: Likes science & is in Club — 12; Likes science & not in Club — 15; Doesn't like science & in Club — 13; neither — 5. Given a student is in the Club, what is the probability they like science? Simplest form.

Answer (as a fraction)

Question 2

P(A) = 0.4, P(B) = 0.2 and P(A and B) = 0.08. Are A and B independent?

• A. Yes
• B. No

Question 3

Survey: Likes science & is in Club — 7; Likes science & not in Club — 18; Doesn't like science & in Club — 6; neither — 8. Given a student is in the Club, what is the probability they like science? Simplest form.

Answer (as a fraction)

Question 4

P(A) = 0.3, P(B) = 0.4 and P(A and B) = 0.17. Are A and B independent?

• A. Yes
• B. No

Question 5

Survey: Likes science & is in Club — 17; Likes science & not in Club — 5; Doesn't like science & in Club — 5; neither — 8. Given a student is in the Club, what is the probability they like science? Simplest form.

Answer (as a fraction)

Question 6

P(A) = 0.6, P(B) = 0.4 and P(A and B) = 0.24. Are A and B independent?

• A. Yes
• B. No

Question 7

Survey: Likes science & is in Club — 6; Likes science & not in Club — 11; Doesn't like science & in Club — 9; neither — 12. Given a student is in the Club, what is the probability they like science? Simplest form.

Answer (as a fraction)

Question 8

P(A) = 0.4, P(B) = 0.25 and P(A and B) = 0.15. Are A and B independent?

• A. Yes
• B. No

Question 9

Survey: Likes science & is in Club — 6; Likes science & not in Club — 10; Doesn't like science & in Club — 13; neither — 17. Given a student is in the Club, what is the probability they like science? Simplest form.

Answer (as a fraction)

Question 10

P(A) = 0.5, P(B) = 0.25 and P(A and B) = 0.175. Are A and B independent?

• A. Yes
• B. No

Question 11

Survey: Likes science & is in Club — 22; Likes science & not in Club — 24; Doesn't like science & in Club — 14; neither — 21. Given a student is in the Club, what is the probability they like science? Simplest form.

Answer (as a fraction)

Question 12

P(A) = 0.4, P(B) = 0.4 and P(A and B) = 0.16. Are A and B independent?

• A. Yes
• B. No

Question 13

Survey: Likes science & is in Club — 18; Likes science & not in Club — 19; Doesn't like science & in Club — 25; neither — 21. Given a student is in the Club, what is the probability they like science? Simplest form.

Answer (as a fraction)

Question 14

P(A) = 0.6, P(B) = 0.5 and P(A and B) = 0.3. Are A and B independent?

• A. Yes
• B. No

Question 15

Survey: Likes science & is in Club — 11; Likes science & not in Club — 23; Doesn't like science & in Club — 20; neither — 5. Given a student is in the Club, what is the probability they like science? Simplest form.

Answer (as a fraction)

Question 16

P(A) = 0.4, P(B) = 0.4 and P(A and B) = 0.16. Are A and B independent?

• A. Yes
• B. No