Cook lasted just six balls, with former England team-mate Ryan Sidebottom trapping him lbw in the third over.
Sidebottom also accounted for Cook???s opening partner, Nick Compton, for a first-ball duck, but an unbeaten fifty from James Hildreth (58no) helped the MCC to lunch at 107-3.??
He rebuilt the innings with Michael Carberry (36) – the pair involved in??a 74-run partnership for the third wicket – before the Hampshire man fell to Steven Patterson shortly before the interval.
Cook was in action on Friday in the Emirates T20 tournament in Dubai and impressed with a 26-ball 35 to top-score for the MCC in their semi-final defeat to Sussex, but the four-day game against Yorkshire is his first action in first-class cricket since losing his job as England???s one-day captain.
After a 5-2 series defeat to Sri Lanka two months before the World Cup, Cook was dropped from the squad, a decision he has since said proved to be the wrong one considering England???s group stage exit.
He resumes his role as captain of England???s Test team with their three-Test tour of the West Indies, with the first Test scheduled for Monday 13 April.
Yorkshire ??? who won the Emirates T20 tournamnet, beating Sussex in the final ??? begin the defence of their County Championship title at Worcestershire a day earlier on Sunday 12 April.