Those circumstances raise the prospect to 99% in my book.
I left it in my other trousers.
There’s a Freudian penis for you - I mis-read that at first as, “Some randy woman on the street…” 
{Mel Brooks}And what a toy!{/MB}
I believe this is a pubic poll (about a public pole).
Are you Sam Kinison?
Given the limited information in the OP, the answer is NO. However, it doesn’t accurately reflect my feelings on the matter. I’m not shy about public nudity, including my own. I also have nothing to be ashamed of in that department. Under the right circumstances, I’ll happily whip it out on request. However, (a) I’m married, and my wife would be understandably uncomfortable with my compliance with that request by a random woman on the street; and (b) there’s a time and a place for everything, so if I was walking through the city and a stranger walked up and asked, for instance, still no.
But if I was single, and I was at a bar or a party and not in danger of being arrested for public exposure or something, and if I was flirting with a girl I didn’t know and she asked to see it, then no problem. Even if she was planning to snap a picture of it or something, eh, whatever. My dick’s out there already, as long as she doesn’t include my face in the picture.
Right, when males and females would obviously respond identically to such a request. LOL
Not if it was a woman asking.
It would be hysterical if I were walking with my partner, and someone asked to see my penis and not his. His is the one that gets the attention.
And yes, he’s been asked. And yes, he has shown.
Me montrerez-vous votre pénis ?
[Hint: look at the OP’s handle]
It depends on the rest of the situation. Are we in a public or private setting? Do I judge the woman to be of the age of majority and capable of giving informed consent (not drunk, not severely developmentally disabled, etc)? Can I show her without showing anybody else? Do I get a vibe of any kind from her?
I might say “here’s my cock” and show her my penis. I might say “here’s my cock” and pull a plastic rooster out of my pocket.
Why would there be a plastic rooster in your pocket?
So that I can ask people “Would you like to play with my cock?” and then pull out a plastic rooster.
I’ve also been known to carry
various plastic tentacles
a pointy headed purple warrior
an Oscar Meyer weiner whistle
Mr Big Bite ( a plastic bendie frankfurter with arms and legs)
a small statuette of the the cyclops from the Sinbad film
A small brass rod
an extending light saber that dispenses candy
and toy Woody the cowboy, of Toy Story fame
all so I can ask a phallic themed question and then produce a toy or random object.
Random guys ask to see our tits, not vaginas…unless one is unfortunately taken for a working gal, that is.
I suppose if the OP had wanted to be completely tit for tat, she could have asked if you’d show your balls upon request, but outside the movie Waiting and its practiced ball flashers, it seems like you’d be inadvertently displaying the block and tackle both if you tried to make the attempt to show just your scrotum, so it’s not really practical.
Thanks for the reminder that real men prefer sandwiches, beer and being in control to actual sex.
I just can’t think of any way it would turn out well.
Obviously I’d be suspicious of her intentions, since that isn’t really normal behavior. But if she could explain the reason and it wasn’t in an environment where I’d be worried about getting arrested for whipping it out, then sure.
Grower here. No, as a general rule. If that woman was my wife, yes, because there’s going to be some reciprocity. If that woman was an EOD tech and alcohol was involved, almost certainly, because there’s going to be some reciprocity.
Even at a swing club, it would be a weird request for a woman to ask a man to show his penis. There was one party where a woman decided to play hall guard, and every guy that passed through to go to one of the party rooms had to comply with a “pecker check” for her amusement (which we all did), but I’ve never had a situation come up where a woman asked one guy to show his penis.
So, on the street, it would be an even weirder request, one that would make me wonder, what’s the catch? Maybe it’s like that one in Indiana where a woman was sunbathing in the park topless (legal under the gender discrimination laws), and when a guy sat down to talk with her, she asked him to show her his penis. Which he did. And was then arrested for indecent exposure (she was an undercover cop). Clear case of entrapment, since she verbally instigated it by request, but still there was a catch.
We’ve all seen your cock, dear. 
Without any other info than the OP? NO.