Question

See image for question.​

Answer 1

#7

(a)

Sample space:

• 1*1, 1*2, 1*3, 1*4,
• 2*1, 2*2, 2*3, 2*4,
• 3*1, 3*2, 3*3, 3*4,
• 4*1, 4*2, 4*3, 4*4

Total 16 outcomes

(b)

• (i) P(even) = 12/16 = 3/4
• (ii) P(3x) = 7/16
• (iii) P(perfect square) = 4/16 = 1/4

#8

(a) Sample space:

• 1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H

Total 8 outcomes

(b)

(i) 1T, 3T

• P(T and odd) = 2/8 = 1/4

(ii) 1H, 4H

• P(H and square) = 2/8 = 1/4

(iii) 1H, 2H, 3H, 4H

• P(H) = 4/8 = 1/2