Final answer:
The probability that the team will score with their next shot is 66.5%.
Step-by-step explanation:
To find the probability that the team will score with their next shot, we need to consider the probabilities of the Goal Shooter and the Goal Attack scoring.
The Goal Shooter takes 65% of the team's shots and scores 70% of the time, so the probability of the Goal Shooter scoring is 65% * 70% = 45.5%.
The Goal Attack takes the remaining 35% of the team's shots and scores 60% of the time, so the probability of the Goal Attack scoring is 35% * 60% = 21%.
Therefore, the total probability that the team will score with their next shot is 45.5% + 21% = 66.5%.