Mathematics for IGCSE & O level - Probability (Section 2 - No. 8)
If the first match of the season is won by the team (probability 0.6), what is the probability they win at least one of the first two matches, given the following: The probability of winning the second match is 0.7 if the first match is won, otherwise it's 0.4?
0.6
0.4
0.84
0.66
Explication
Use the calculation of (win first and lose second) OR (lose first and win second). (0.6 * 0.3) + (0.4 * 0.4) = 0.66.