Two friends, Greg and Fred regularly train with each other for the triathlon, a race which includes swimming, cycling and running components. In training they race against each other for each component individually. Who wins each component can be considered independent.

The probability that Greg wins the swimming component is 0.70.

The probability that Fred wins the cycling component is 0.68.

The probability that Fred wins the running component is 0.83.

Greg and Fred meet for a new training session. What is the probability that Greg will win all three components?